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. $2.5
B. $5.00
C. $5.50
D. $7.50
E. $15.00
The OA is B.
Price for Shoes = x
Price for Boots = y
$$22x+16y=650\ \ (1)$$
and
$$8x+32y=760\ \ (2)$$
Then, from the two equations above we get,
from (1)
$$x=\frac{650-16y}{22}$$
then, x into (2)
$$8\left(\frac{650-16y}{22}\right)+32y=760\ \Rightarrow y = 20$$
then, y=20 into x equation,
$$x=15$$
Finally,
$$y-x=5$$
Is there a strategic approach to this PS question? Can any experts help me, please?
A. $2.5
B. $5.00
C. $5.50
D. $7.50
E. $15.00
The OA is B.
Price for Shoes = x
Price for Boots = y
$$22x+16y=650\ \ (1)$$
and
$$8x+32y=760\ \ (2)$$
Then, from the two equations above we get,
from (1)
$$x=\frac{650-16y}{22}$$
then, x into (2)
$$8\left(\frac{650-16y}{22}\right)+32y=760\ \Rightarrow y = 20$$
then, y=20 into x equation,
$$x=15$$
Finally,
$$y-x=5$$
Is there a strategic approach to this PS question? Can any experts help me, please?
