Nick spent $2412 on shirts and cardigans. The number of cardigans he bought was
14 the number of shirts he bought. The cost of a cardigan was $8 more than the cost of a shirt. He paid $1332 more on shirts than on cardigans. Find the cost of 8 shirts and 10 cardigans.
|
Shirts |
Cardigans |
Number of sets |
4 sets |
1 set |
Compare each |
|
$8 more |
Total value |
$1872 |
$540 |
Total cost of cardigans
= (2412 - 1332) ÷ 2
= $540
Total cost of shirts
= 540 + 1332
= $1872
4 sets of shirts = $1872
1 set of shirts = 1872 ÷ 4 = $468
1 set of cardigans = $540
Difference in 1 set of cardigans and 1 set of shirts
= 540 - 468
= $72
Number of clothing in 1 set
= 72 ÷ 8
= 9
Cost of 1 shirt
= 468 ÷ 9
= $52
Cost of 1 cardigan
= 52 + 8
= $60
Price of 8 shirts and 10 cardigans
= (8 x 52) + (10 x 60)
= 416 + 600
= $1016
Answer(s): $1016