Nick spent $1344 on sweaters and blouses. The number of blouses he bought was
13 the number of sweaters he bought. The cost of a blouse was $8 more than the cost of a sweater. He paid $588 more on sweaters than on blouses. Find the cost of 8 sweaters and 6 blouses.
|
Sweaters |
Blouses |
Number of sets |
3 sets |
1 set |
Compare each |
|
$8 more |
Total value |
$966 |
$378 |
Total cost of blouses
= (1344 - 588) ÷ 2
= $378
Total cost of sweaters
= 378 + 588
= $966
3 sets of sweaters = $966
1 set of sweaters = 966 ÷ 3 = $322
1 set of blouses = $378
Difference in 1 set of blouses and 1 set of sweaters
= 378 - 322
= $56
Number of clothing in 1 set
= 56 ÷ 8
= 7
Cost of 1 sweater
= 322 ÷ 7
= $46
Cost of 1 blouse
= 46 + 8
= $54
Price of 8 sweaters and 6 blouses
= (8 x 46) + (6 x 54)
= 368 + 324
= $692
Answer(s): $692