Suzie’s Discount Footwear sells all pairs of shoes for one price and

Question

Suzie’s Discount Footwear sells all pairs of shoes for one price and all pairs of boots for another price. On Monday the store sold 22 pairs of shoes and 16 pairs of boots for $650. On Tuesday the store sold 8 pairs of shoes and 32 pairs of boots for $760. How much more do pairs of boots cost than pairs of shoes at Suzie’s Discount Footwear?

A. $2.50
B. $5.00
C. $5.50
D. $7.50
E. $15.00

A. $2.50
B. $5.00
C. $5.50
D. $7.50
E. $15.00

msk0657 · Answer

Let X be pair of shoes and Y be pair of boots.

22x+16y = 650 ... eq1
8x +32y = 760....eq 2.

Now multiply eq 1 by 2 and sub eq 2.

44x = 1300
8x = 760.
- - 
______________
36x = 540 => x = 15.

Sub x in eq 2.... we get 120 + 32y = 760... then we get 32y = 640 then y = 20

Differenece between X and Y is 5.

IMO option B is correct answer.

OA plesae...will correct if I missed anything.

Divyadisha · Answer

22S+16B= 650
8S+32B= 760

Solving above two equations we get:-
S=15
B=20

And the difference is 5

B is the answer

purduembastudent · Answer

The answer is indeed 5 but the option is  B

msk0657 · Answer

Thanks..I edited the option...

JeffTargetTestPrep · Answer

We can let h and b = the price per pair of shoes and boots, respectively, and create the equations:

22h + 16b = 650

11h + 8b = 325 (Eq. 1)

and

8h + 32b = 760

h + 4b = 95 (Eq. 2)

Multiplying Eq. 2 by -2 we have:

-2h - 8b = -190 (Eq. 3)

Adding Eq. 1 and Eq. 3 we have:

9h = 135

h = 15

Substituting h = 15 into Eq. 2 we have:

15 + 4b = 95

4b = 80

b = 20

Thus a pair of boots costs 20 - 15 = 5 dollars more than a pair of shoes.

Answer: B

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Suzie’s Discount Footwear sells all pairs of shoes for one price and

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