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 21%, there are now 336 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 23%, there are now 384 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 52%, there are now 282 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 42%, there are now 335 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 53%, there are now 288 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 19%, 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 38%, there are now 429 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 15%, there are now 160 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 200 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 19%, there are now 264 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer:_______________

Answer: 2100

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 21% increase	→100% + 21%
		= 121%
Step 4:	Difference in % of marbles	→121% - 105%
		= 16%
Step 5:	16%	→336
	1%	→ $\frac{336}{16%}$
	Number of blue marbles at the start 100%	→ $\frac{336}{16%}$ x $\frac{100%}{1}$
		= 2100

Answer: 800

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 23% increase	→100% + 23%
		= 123%
Step 4:	Difference in % of marbles	→123% - 75%
		= 48%
Step 5:	48%	→384
	1%	→ $\frac{384}{48%}$
	Number of blue marbles at the start 100%	→ $\frac{384}{48%}$ x $\frac{100%}{1}$
		= 800

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 52% increase	→100% + 52%
		= 152%
Step 4:	Difference in % of marbles	→152% - 105%
		= 47%
Step 5:	47%	→282
	1%	→ $\frac{282}{47%}$
	Number of blue marbles at the start 100%	→ $\frac{282}{47%}$ x $\frac{100%}{1}$
		= 600

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 42% increase	→100% + 42%
		= 142%
Step 4:	Difference in % of marbles	→142% - 75%
		= 67%
Step 5:	67%	→335
	1%	→ $\frac{335}{67%}$
	Number of blue marbles at the start 100%	→ $\frac{335}{67%}$ x $\frac{100%}{1}$
		= 500

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 53% increase	→100% + 53%
		= 153%
Step 4:	Difference in % of marbles	→153% - 105%
		= 48%
Step 5:	48%	→288
	1%	→ $\frac{288}{48%}$
	Number of blue marbles at the start 100%	→ $\frac{288}{48%}$ x $\frac{100%}{1}$
		= 600

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 19% increase	→100% + 19%
		= 119%
Step 4:	Difference in % of marbles	→119% - 75%
		= 44%
Step 5:	44%	→220
	1%	→ $\frac{220}{44%}$
	Number of blue marbles at the start 100%	→ $\frac{220}{44%}$ x $\frac{100%}{1}$
		= 500

Answer: 1300

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 38% increase	→100% + 38%
		= 138%
Step 4:	Difference in % of marbles	→138% - 105%
		= 33%
Step 5:	33%	→429
	1%	→ $\frac{429}{33%}$
	Number of blue marbles at the start 100%	→ $\frac{429}{33%}$ x $\frac{100%}{1}$
		= 1300

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 15% increase	→100% + 15%
		= 115%
Step 4:	Difference in % of marbles	→115% - 75%
		= 40%
Step 5:	40%	→160
	1%	→ $\frac{160}{40%}$
	Number of blue marbles at the start 100%	→ $\frac{160}{40%}$ x $\frac{100%}{1}$
		= 400

Answer: 500

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%	→200
	1%	→ $\frac{200}{40%}$
	Number of blue marbles at the start 100%	→ $\frac{200}{40%}$ x $\frac{100%}{1}$
		= 500

10)

Answer: 600

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 19% increase	→100% + 19%
		= 119%
Step 4:	Difference in % of marbles	→119% - 75%
		= 44%
Step 5:	44%	→264
	1%	→ $\frac{264}{44%}$
	Number of blue marbles at the start 100%	→ $\frac{264}{44%}$ x $\frac{100%}{1}$
		= 600