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 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 44%, there are now 234 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 32%, there are now 114 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 34%, there are now 348 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 22%, there are now 470 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 16%, there are now 198 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 44%, there are now 138 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 45%, there are now 120 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 35%, there are now 180 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 31%, there are now 364 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer:_______________

10)

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 49%, there are now 222 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer:_______________

Answer: 600

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 44% increase	→100% + 44%
		= 144%
Step 4:	Difference in % of marbles	→144% - 105%
		= 39%
Step 5:	39%	→234
	1%	→ $\frac{234}{39%}$
	Number of blue marbles at the start 100%	→ $\frac{234}{39%}$ x $\frac{100%}{1}$
		= 600

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 32% increase	→100% + 32%
		= 132%
Step 4:	Difference in % of marbles	→132% - 75%
		= 57%
Step 5:	57%	→114
	1%	→ $\frac{114}{57%}$
	Number of blue marbles at the start 100%	→ $\frac{114}{57%}$ x $\frac{100%}{1}$
		= 200

Answer: 1200

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 34% increase	→100% + 34%
		= 134%
Step 4:	Difference in % of marbles	→134% - 105%
		= 29%
Step 5:	29%	→348
	1%	→ $\frac{348}{29%}$
	Number of blue marbles at the start 100%	→ $\frac{348}{29%}$ x $\frac{100%}{1}$
		= 1200

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 22% increase	→100% + 22%
		= 122%
Step 4:	Difference in % of marbles	→122% - 75%
		= 47%
Step 5:	47%	→470
	1%	→ $\frac{470}{47%}$
	Number of blue marbles at the start 100%	→ $\frac{470}{47%}$ x $\frac{100%}{1}$
		= 1000

Answer: 1800

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 16% increase	→100% + 16%
		= 116%
Step 4:	Difference in % of marbles	→116% - 105%
		= 11%
Step 5:	11%	→198
	1%	→ $\frac{198}{11%}$
	Number of blue marbles at the start 100%	→ $\frac{198}{11%}$ x $\frac{100%}{1}$
		= 1800

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 44% increase	→100% + 44%
		= 144%
Step 4:	Difference in % of marbles	→144% - 75%
		= 69%
Step 5:	69%	→138
	1%	→ $\frac{138}{69%}$
	Number of blue marbles at the start 100%	→ $\frac{138}{69%}$ x $\frac{100%}{1}$
		= 200

Answer: 300

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 45% increase	→100% + 45%
		= 145%
Step 4:	Difference in % of marbles	→145% - 105%
		= 40%
Step 5:	40%	→120
	1%	→ $\frac{120}{40%}$
	Number of blue marbles at the start 100%	→ $\frac{120}{40%}$ x $\frac{100%}{1}$
		= 300

Answer: 300

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 35% increase	→100% + 35%
		= 135%
Step 4:	Difference in % of marbles	→135% - 75%
		= 60%
Step 5:	60%	→180
	1%	→ $\frac{180}{60%}$
	Number of blue marbles at the start 100%	→ $\frac{180}{60%}$ x $\frac{100%}{1}$
		= 300

Answer: 1400

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 31% increase	→100% + 31%
		= 131%
Step 4:	Difference in % of marbles	→131% - 105%
		= 26%
Step 5:	26%	→364
	1%	→ $\frac{364}{26%}$
	Number of blue marbles at the start 100%	→ $\frac{364}{26%}$ x $\frac{100%}{1}$
		= 1400

10)

Answer: 300

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 49% increase	→100% + 49%
		= 149%
Step 4:	Difference in % of marbles	→149% - 75%
		= 74%
Step 5:	74%	→222
	1%	→ $\frac{222}{74%}$
	Number of blue marbles at the start 100%	→ $\frac{222}{74%}$ x $\frac{100%}{1}$
		= 300