Answer:
Style A sold 15 pairs while Style B sold 13 pairs
Step-by-step explanation:
Let the number of Style A pairs be A.
Let the number of Style B pairs be B.
The store sold 28 pairs of cross-trainer shoes for a total of $2,220 and Style A sold for $70 per pair while Style B sold for $90 per pair.
This implies 2 things:
A + B = 28 ________________ (1)
and
(70*A) + (90*B) = 2220
=> 70A + 90B = 2220 ________(2)
We now have two simultaneous equations:
A + B = 28 ________________ (1)
70A + 90B = 2220 __________(2)
From (1):
A = 28 - B ________________ (3)
Put (3) in (2):
70(28 - B) + 90B = 2220
1960 - 70B + 90B = 2220
1960 + 20B = 2220
Collecting like terms:
20B = 2220 - 1960
20B = 260
B = 260 / 20
B = 13
Therefore:
A = 28 - 13 = 15
Style A sold 15 pairs while Style B sold 13 pairs.
