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 43%, there are now 380 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 376 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 44%, there are now 273 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 33%, there are now 116 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 15%, there are now 460 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 55%, there are now 480 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 20%, there are now 105 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 228 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 50%, there are now 225 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 32%, there are now 342 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer:_______________

Answer: 1000

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 43% increase	→100% + 43%
		= 143%
Step 4:	Difference in % of marbles	→143% - 105%
		= 38%
Step 5:	38%	→380
	1%	→ $\frac{380}{38%}$
	Number of blue marbles at the start 100%	→ $\frac{380}{38%}$ x $\frac{100%}{1}$
		= 1000

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 22% increase	→100% + 22%
		= 122%
Step 4:	Difference in % of marbles	→122% - 75%
		= 47%
Step 5:	47%	→376
	1%	→ $\frac{376}{47%}$
	Number of blue marbles at the start 100%	→ $\frac{376}{47%}$ x $\frac{100%}{1}$
		= 800

Answer: 700

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%	→273
	1%	→ $\frac{273}{39%}$
	Number of blue marbles at the start 100%	→ $\frac{273}{39%}$ x $\frac{100%}{1}$
		= 700

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 33% increase	→100% + 33%
		= 133%
Step 4:	Difference in % of marbles	→133% - 75%
		= 58%
Step 5:	58%	→116
	1%	→ $\frac{116}{58%}$
	Number of blue marbles at the start 100%	→ $\frac{116}{58%}$ x $\frac{100%}{1}$
		= 200

Answer: 4600

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 15% increase	→100% + 15%
		= 115%
Step 4:	Difference in % of marbles	→115% - 105%
		= 10%
Step 5:	10%	→460
	1%	→ $\frac{460}{10%}$
	Number of blue marbles at the start 100%	→ $\frac{460}{10%}$ x $\frac{100%}{1}$
		= 4600

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 55% increase	→100% + 55%
		= 155%
Step 4:	Difference in % of marbles	→155% - 75%
		= 80%
Step 5:	80%	→480
	1%	→ $\frac{480}{80%}$
	Number of blue marbles at the start 100%	→ $\frac{480}{80%}$ x $\frac{100%}{1}$
		= 600

Answer: 700

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 20% increase	→100% + 20%
		= 120%
Step 4:	Difference in % of marbles	→120% - 105%
		= 15%
Step 5:	15%	→105
	1%	→ $\frac{105}{15%}$
	Number of blue marbles at the start 100%	→ $\frac{105}{15%}$ x $\frac{100%}{1}$
		= 700

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 32% increase	→100% + 32%
		= 132%
Step 4:	Difference in % of marbles	→132% - 75%
		= 57%
Step 5:	57%	→228
	1%	→ $\frac{228}{57%}$
	Number of blue marbles at the start 100%	→ $\frac{228}{57%}$ 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 50% increase	→100% + 50%
		= 150%
Step 4:	Difference in % of marbles	→150% - 105%
		= 45%
Step 5:	45%	→225
	1%	→ $\frac{225}{45%}$
	Number of blue marbles at the start 100%	→ $\frac{225}{45%}$ 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 32% increase	→100% + 32%
		= 132%
Step 4:	Difference in % of marbles	→132% - 75%
		= 57%
Step 5:	57%	→342
	1%	→ $\frac{342}{57%}$
	Number of blue marbles at the start 100%	→ $\frac{342}{57%}$ x $\frac{100%}{1}$
		= 600