Nick spent $2360 on sweaters and shirts. The number of shirts he bought was
14 the number of sweaters he bought. The cost of a shirt was $6 more than the cost of a sweater. He paid $1320 more on sweaters than on shirts. Find the cost of 3 sweaters and 4 shirts.
|
Sweaters |
Shirts |
Number of sets |
4 sets |
1 set |
Compare each |
|
$6 more |
Total value |
$1840 |
$520 |
Total cost of shirts
= (2360 - 1320) ÷ 2
= $520
Total cost of sweaters
= 520 + 1320
= $1840
4 sets of sweaters = $1840
1 set of sweaters = 1840 ÷ 4 = $460
1 set of shirts = $520
Difference in 1 set of shirts and 1 set of sweaters
= 520 - 460
= $60
Number of clothing in 1 set
= 60 ÷ 6
= 10
Cost of 1 sweater
= 460 ÷ 10
= $46
Cost of 1 shirt
= 46 + 6
= $52
Price of 3 sweaters and 4 shirts
= (3 x 46) + (4 x 52)
= 138 + 208
= $346
Answer(s): $346