Nick spent $1530 on shirts and cardigans. The number of cardigans he bought was
12 the number of shirts he bought. The cost of a cardigan was $9 more than the cost of a shirt. He paid $390 more on shirts than on cardigans. Find the cost of 3 shirts and 4 cardigans.
|
Shirts |
Cardigans |
Number of sets |
2 sets |
1 set |
Compare each |
|
$9 more |
Total value |
$960 |
$570 |
Total cost of cardigans
= (1530 - 390) ÷ 2
= $570
Total cost of shirts
= 570 + 390
= $960
2 sets of shirts = $960
1 set of shirts = 960 ÷ 2 = $480
1 set of cardigans = $570
Difference in 1 set of cardigans and 1 set of shirts
= 570 - 480
= $90
Number of clothing in 1 set
= 90 ÷ 9
= 10
Cost of 1 shirt
= 480 ÷ 10
= $48
Cost of 1 cardigan
= 48 + 9
= $57
Price of 3 shirts and 4 cardigans
= (3 x 48) + (4 x 57)
= 144 + 228
= $372
Answer(s): $372