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 41%, there are now 180 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 47%, 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 19%, there are now 462 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 27%, there are now 364 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 42%, there are now 259 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 43%, there are now 136 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 33%, there are now 308 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 25%, there are now 250 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 42%, there are now 148 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 20%, there are now 135 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer:_______________

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 41% increase	→100% + 41%
		= 141%
Step 4:	Difference in % of marbles	→141% - 105%
		= 36%
Step 5:	36%	→180
	1%	→ $\frac{180}{36%}$
	Number of blue marbles at the start 100%	→ $\frac{180}{36%}$ x $\frac{100%}{1}$
		= 500

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 47% increase	→100% + 47%
		= 147%
Step 4:	Difference in % of marbles	→147% - 75%
		= 72%
Step 5:	72%	→360
	1%	→ $\frac{360}{72%}$
	Number of blue marbles at the start 100%	→ $\frac{360}{72%}$ x $\frac{100%}{1}$
		= 500

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 19% increase	→100% + 19%
		= 119%
Step 4:	Difference in % of marbles	→119% - 105%
		= 14%
Step 5:	14%	→462
	1%	→ $\frac{462}{14%}$
	Number of blue marbles at the start 100%	→ $\frac{462}{14%}$ x $\frac{100%}{1}$
		= 3300

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 27% increase	→100% + 27%
		= 127%
Step 4:	Difference in % of marbles	→127% - 75%
		= 52%
Step 5:	52%	→364
	1%	→ $\frac{364}{52%}$
	Number of blue marbles at the start 100%	→ $\frac{364}{52%}$ x $\frac{100%}{1}$
		= 700

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 42% increase	→100% + 42%
		= 142%
Step 4:	Difference in % of marbles	→142% - 105%
		= 37%
Step 5:	37%	→259
	1%	→ $\frac{259}{37%}$
	Number of blue marbles at the start 100%	→ $\frac{259}{37%}$ 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 43% increase	→100% + 43%
		= 143%
Step 4:	Difference in % of marbles	→143% - 75%
		= 68%
Step 5:	68%	→136
	1%	→ $\frac{136}{68%}$
	Number of blue marbles at the start 100%	→ $\frac{136}{68%}$ x $\frac{100%}{1}$
		= 200

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 33% increase	→100% + 33%
		= 133%
Step 4:	Difference in % of marbles	→133% - 105%
		= 28%
Step 5:	28%	→308
	1%	→ $\frac{308}{28%}$
	Number of blue marbles at the start 100%	→ $\frac{308}{28%}$ x $\frac{100%}{1}$
		= 1100

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 25% increase	→100% + 25%
		= 125%
Step 4:	Difference in % of marbles	→125% - 75%
		= 50%
Step 5:	50%	→250
	1%	→ $\frac{250}{50%}$
	Number of blue marbles at the start 100%	→ $\frac{250}{50%}$ x $\frac{100%}{1}$
		= 500

Answer: 400

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 42% increase	→100% + 42%
		= 142%
Step 4:	Difference in % of marbles	→142% - 105%
		= 37%
Step 5:	37%	→148
	1%	→ $\frac{148}{37%}$
	Number of blue marbles at the start 100%	→ $\frac{148}{37%}$ x $\frac{100%}{1}$
		= 400

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 20% increase	→100% + 20%
		= 120%
Step 4:	Difference in % of marbles	→120% - 75%
		= 45%
Step 5:	45%	→135
	1%	→ $\frac{135}{45%}$
	Number of blue marbles at the start 100%	→ $\frac{135}{45%}$ x $\frac{100%}{1}$
		= 300