Sasi Math (Revised for 1024)

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Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.

There are 25% more red marbles than blue marbles in a bag. After I removed 40% of the red marbles and increased the number of blue marbles by another 51%, there are now 152 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer:_______________

There are 50% more red marbles than blue marbles in a bag. After I removed 30% of the red marbles and increased the number of blue marbles by another 24%, there are now 437 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer:_______________

There are 25% more red marbles than blue marbles in a bag. After I removed 40% of the red marbles and increased the number of blue marbles by another 30%, there are now 220 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer:_______________

There are 50% more red marbles than blue marbles in a bag. After I removed 30% of the red marbles and increased the number of blue marbles by another 19%, there are now 154 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer:_______________

There are 25% more red marbles than blue marbles in a bag. After I removed 40% of the red marbles and increased the number of blue marbles by another 28%, there are now 371 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer:_______________

There are 50% more red marbles than blue marbles in a bag. After I removed 30% of the red marbles and increased the number of blue marbles by another 32%, there are now 216 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer:_______________

There are 25% more red marbles than blue marbles in a bag. After I removed 40% of the red marbles and increased the number of blue marbles by another 51%, there are now 380 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer:_______________

There are 50% more red marbles than blue marbles in a bag. After I removed 30% of the red marbles and increased the number of blue marbles by another 46%, there are now 451 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer:_______________

There are 25% more red marbles than blue marbles in a bag. After I removed 40% of the red marbles and increased the number of blue marbles by another 17%, there are now 420 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer:_______________

10)

There are 50% more red marbles than blue marbles in a bag. After I removed 30% of the red marbles and increased the number of blue marbles by another 25%, there are now 400 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer:_______________

Answer: 200

SOLUTION 1 :

Step 1:	Blue marbles	→100%	(at first)
	Red marbles	→125%	(at first)
Step 2:	% of red marbles removed	→ $\frac{40}{100}$ x 125%
		= 50%
	% of red marbles left	→125% - 50%
		= 75%
Step 3:	% of blue marbles after the 51% increase	→100% + 51%
		= 151%
Step 4:	Difference in % of marbles	→151% - 75%
		= 76%
Step 5:	76%	→152
	1%	→ $\frac{152}{76%}$
	Number of blue marbles at the start 100%	→ $\frac{152}{76%}$ x $\frac{100%}{1}$
		= 200

Answer: 2300

SOLUTION 1 :

Step 1:	Blue marbles	→100%	(at first)
	Red marbles	→150%	(at first)
Step 2:	% of red marbles removed	→ $\frac{30}{100}$ x 150%
		= 45%
	% of red marbles left	→150% - 45%
		= 105%
Step 3:	% of blue marbles after the 24% increase	→100% + 24%
		= 124%
Step 4:	Difference in % of marbles	→124% - 105%
		= 19%
Step 5:	19%	→437
	1%	→ $\frac{437}{19%}$
	Number of blue marbles at the start 100%	→ $\frac{437}{19%}$ x $\frac{100%}{1}$
		= 2300

Answer: 400

SOLUTION 1 :

Step 1:	Blue marbles	→100%	(at first)
	Red marbles	→125%	(at first)
Step 2:	% of red marbles removed	→ $\frac{40}{100}$ x 125%
		= 50%
	% of red marbles left	→125% - 50%
		= 75%
Step 3:	% of blue marbles after the 30% increase	→100% + 30%
		= 130%
Step 4:	Difference in % of marbles	→130% - 75%
		= 55%
Step 5:	55%	→220
	1%	→ $\frac{220}{55%}$
	Number of blue marbles at the start 100%	→ $\frac{220}{55%}$ x $\frac{100%}{1}$
		= 400

Answer: 1100

SOLUTION 1 :

Step 1:	Blue marbles	→100%	(at first)
	Red marbles	→150%	(at first)
Step 2:	% of red marbles removed	→ $\frac{30}{100}$ x 150%
		= 45%
	% of red marbles left	→150% - 45%
		= 105%
Step 3:	% of blue marbles after the 19% increase	→100% + 19%
		= 119%
Step 4:	Difference in % of marbles	→119% - 105%
		= 14%
Step 5:	14%	→154
	1%	→ $\frac{154}{14%}$
	Number of blue marbles at the start 100%	→ $\frac{154}{14%}$ x $\frac{100%}{1}$
		= 1100

Answer: 700

SOLUTION 1 :

Step 1:	Blue marbles	→100%	(at first)
	Red marbles	→125%	(at first)
Step 2:	% of red marbles removed	→ $\frac{40}{100}$ x 125%
		= 50%
	% of red marbles left	→125% - 50%
		= 75%
Step 3:	% of blue marbles after the 28% increase	→100% + 28%
		= 128%
Step 4:	Difference in % of marbles	→128% - 75%
		= 53%
Step 5:	53%	→371
	1%	→ $\frac{371}{53%}$
	Number of blue marbles at the start 100%	→ $\frac{371}{53%}$ x $\frac{100%}{1}$
		= 700

Answer: 800

SOLUTION 1 :

Step 1:	Blue marbles	→100%	(at first)
	Red marbles	→150%	(at first)
Step 2:	% of red marbles removed	→ $\frac{30}{100}$ x 150%
		= 45%
	% of red marbles left	→150% - 45%
		= 105%
Step 3:	% of blue marbles after the 32% increase	→100% + 32%
		= 132%
Step 4:	Difference in % of marbles	→132% - 105%
		= 27%
Step 5:	27%	→216
	1%	→ $\frac{216}{27%}$
	Number of blue marbles at the start 100%	→ $\frac{216}{27%}$ x $\frac{100%}{1}$
		= 800

Answer: 500

SOLUTION 1 :

Step 1:	Blue marbles	→100%	(at first)
	Red marbles	→125%	(at first)
Step 2:	% of red marbles removed	→ $\frac{40}{100}$ x 125%
		= 50%
	% of red marbles left	→125% - 50%
		= 75%
Step 3:	% of blue marbles after the 51% increase	→100% + 51%
		= 151%
Step 4:	Difference in % of marbles	→151% - 75%
		= 76%
Step 5:	76%	→380
	1%	→ $\frac{380}{76%}$
	Number of blue marbles at the start 100%	→ $\frac{380}{76%}$ x $\frac{100%}{1}$
		= 500

Answer: 1100

SOLUTION 1 :

Step 1:	Blue marbles	→100%	(at first)
	Red marbles	→150%	(at first)
Step 2:	% of red marbles removed	→ $\frac{30}{100}$ x 150%
		= 45%
	% of red marbles left	→150% - 45%
		= 105%
Step 3:	% of blue marbles after the 46% increase	→100% + 46%
		= 146%
Step 4:	Difference in % of marbles	→146% - 105%
		= 41%
Step 5:	41%	→451
	1%	→ $\frac{451}{41%}$
	Number of blue marbles at the start 100%	→ $\frac{451}{41%}$ x $\frac{100%}{1}$
		= 1100

Answer: 1000

SOLUTION 1 :

Step 1:	Blue marbles	→100%	(at first)
	Red marbles	→125%	(at first)
Step 2:	% of red marbles removed	→ $\frac{40}{100}$ x 125%
		= 50%
	% of red marbles left	→125% - 50%
		= 75%
Step 3:	% of blue marbles after the 17% increase	→100% + 17%
		= 117%
Step 4:	Difference in % of marbles	→117% - 75%
		= 42%
Step 5:	42%	→420
	1%	→ $\frac{420}{42%}$
	Number of blue marbles at the start 100%	→ $\frac{420}{42%}$ x $\frac{100%}{1}$
		= 1000

10)

Answer: 2000

SOLUTION 1 :

Step 1:	Blue marbles	→100%	(at first)
	Red marbles	→150%	(at first)
Step 2:	% of red marbles removed	→ $\frac{30}{100}$ x 150%
		= 45%
	% of red marbles left	→150% - 45%
		= 105%
Step 3:	% of blue marbles after the 25% increase	→100% + 25%
		= 125%
Step 4:	Difference in % of marbles	→125% - 105%
		= 20%
Step 5:	20%	→400
	1%	→ $\frac{400}{20%}$
	Number of blue marbles at the start 100%	→ $\frac{400}{20%}$ x $\frac{100%}{1}$
		= 2000