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 38%, there are now 330 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 360 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 22%, there are now 408 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 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 15%, there are now 330 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 37%, there are now 186 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 40%, there are now 350 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 49%, there are now 370 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 25%, there are now 360 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 42%, there are now 134 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 38% increase	→100% + 38%
		= 138%
Step 4:	Difference in % of marbles	→138% - 105%
		= 33%
Step 5:	33%	→330
	1%	→ $\frac{330}{33%}$
	Number of blue marbles at the start 100%	→ $\frac{330}{33%}$ x $\frac{100%}{1}$
		= 1000

Answer: 900

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%	→360
	1%	→ $\frac{360}{40%}$
	Number of blue marbles at the start 100%	→ $\frac{360}{40%}$ x $\frac{100%}{1}$
		= 900

Answer: 2400

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 22% increase	→100% + 22%
		= 122%
Step 4:	Difference in % of marbles	→122% - 105%
		= 17%
Step 5:	17%	→408
	1%	→ $\frac{408}{17%}$
	Number of blue marbles at the start 100%	→ $\frac{408}{17%}$ x $\frac{100%}{1}$
		= 2400

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: 3300

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%	→330
	1%	→ $\frac{330}{10%}$
	Number of blue marbles at the start 100%	→ $\frac{330}{10%}$ x $\frac{100%}{1}$
		= 3300

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 37% increase	→100% + 37%
		= 137%
Step 4:	Difference in % of marbles	→137% - 75%
		= 62%
Step 5:	62%	→186
	1%	→ $\frac{186}{62%}$
	Number of blue marbles at the start 100%	→ $\frac{186}{62%}$ x $\frac{100%}{1}$
		= 300

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 40% increase	→100% + 40%
		= 140%
Step 4:	Difference in % of marbles	→140% - 105%
		= 35%
Step 5:	35%	→350
	1%	→ $\frac{350}{35%}$
	Number of blue marbles at the start 100%	→ $\frac{350}{35%}$ x $\frac{100%}{1}$
		= 1000

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 49% increase	→100% + 49%
		= 149%
Step 4:	Difference in % of marbles	→149% - 75%
		= 74%
Step 5:	74%	→370
	1%	→ $\frac{370}{74%}$
	Number of blue marbles at the start 100%	→ $\frac{370}{74%}$ x $\frac{100%}{1}$
		= 500

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 25% increase	→100% + 25%
		= 125%
Step 4:	Difference in % of marbles	→125% - 105%
		= 20%
Step 5:	20%	→360
	1%	→ $\frac{360}{20%}$
	Number of blue marbles at the start 100%	→ $\frac{360}{20%}$ x $\frac{100%}{1}$
		= 1800

10)

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 42% increase	→100% + 42%
		= 142%
Step 4:	Difference in % of marbles	→142% - 75%
		= 67%
Step 5:	67%	→134
	1%	→ $\frac{134}{67%}$
	Number of blue marbles at the start 100%	→ $\frac{134}{67%}$ x $\frac{100%}{1}$
		= 200