Nick spent $1690 on sweaters and skirts. The number of skirts he bought was
12 the number of sweaters he bought. The cost of a skirt was $7 more than the cost of a sweater. He paid $470 more on sweaters than on skirts. Find the cost of 7 sweaters and 9 skirts.
|
Sweaters |
Skirts |
Number of sets |
2 sets |
1 set |
Compare each |
|
$7 more |
Total value |
$1080 |
$610 |
Total cost of skirts
= (1690 - 470) ÷ 2
= $610
Total cost of sweaters
= 610 + 470
= $1080
2 sets of sweaters = $1080
1 set of sweaters = 1080 ÷ 2 = $540
1 set of skirts = $610
Difference in 1 set of skirts and 1 set of sweaters
= 610 - 540
= $70
Number of clothing in 1 set
= 70 ÷ 7
= 10
Cost of 1 sweater
= 540 ÷ 10
= $54
Cost of 1 skirt
= 54 + 7
= $61
Price of 7 sweaters and 9 skirts
= (7 x 54) + (9 x 61)
= 378 + 549
= $927
Answer(s): $927