Nick spent $2030 on sweaters and shirts. The number of shirts he bought was
14 the number of sweaters he bought. The cost of a shirt was $8 more than the cost of a sweater. He paid $1090 more on sweaters than on shirts. Find the cost of 9 sweaters and 7 shirts.
|
Sweaters |
Shirts |
Number of sets |
4 sets |
1 set |
Compare each |
|
$8 more |
Total value |
$1560 |
$470 |
Total cost of shirts
= (2030 - 1090) ÷ 2
= $470
Total cost of sweaters
= 470 + 1090
= $1560
4 sets of sweaters = $1560
1 set of sweaters = 1560 ÷ 4 = $390
1 set of shirts = $470
Difference in 1 set of shirts and 1 set of sweaters
= 470 - 390
= $80
Number of clothing in 1 set
= 80 ÷ 8
= 10
Cost of 1 sweater
= 390 ÷ 10
= $39
Cost of 1 shirt
= 39 + 8
= $47
Price of 9 sweaters and 7 shirts
= (9 x 39) + (7 x 47)
= 351 + 329
= $680
Answer(s): $680