Nick spent $1296 on sweaters and shirts. The number of shirts he bought was
12 the number of sweaters he bought. The cost of a shirt was $6 more than the cost of a sweater. He paid $368 more on sweaters than on shirts. Find the cost of 7 sweaters and 5 shirts.
|
Sweaters |
Shirts |
Number of sets |
2 sets |
1 set |
Compare each |
|
$6 more |
Total value |
$832 |
$464 |
Total cost of shirts
= (1296 - 368) ÷ 2
= $464
Total cost of sweaters
= 464 + 368
= $832
2 sets of sweaters = $832
1 set of sweaters = 832 ÷ 2 = $416
1 set of shirts = $464
Difference in 1 set of shirts and 1 set of sweaters
= 464 - 416
= $48
Number of clothing in 1 set
= 48 ÷ 6
= 8
Cost of 1 sweater
= 416 ÷ 8
= $52
Cost of 1 shirt
= 52 + 6
= $58
Price of 7 sweaters and 5 shirts
= (7 x 52) + (5 x 58)
= 364 + 290
= $654
Answer(s): $654