Nick spent $730 on cardigans and shirts. The number of shirts he bought was
12 the number of cardigans he bought. The cost of a shirt was $5 more than the cost of a cardigan. He paid $210 more on cardigans than on shirts. Find the cost of 5 cardigans and 8 shirts.
|
Cardigans |
Shirts |
Number of sets |
2 sets |
1 set |
Compare each |
|
$5 more |
Total value |
$470 |
$260 |
Total cost of shirts
= (730 - 210) ÷ 2
= $260
Total cost of cardigans
= 260 + 210
= $470
2 sets of cardigans = $470
1 set of cardigans = 470 ÷ 2 = $235
1 set of shirts = $260
Difference in 1 set of shirts and 1 set of cardigans
= 260 - 235
= $25
Number of clothing in 1 set
= 25 ÷ 5
= 5
Cost of 1 cardigan
= 235 ÷ 5
= $47
Cost of 1 shirt
= 47 + 5
= $52
Price of 5 cardigans and 8 shirts
= (5 x 47) + (8 x 52)
= 235 + 416
= $651
Answer(s): $651