Nick spent $873 on cardigans and blouses. The number of blouses he bought was
12 the number of cardigans he bought. The cost of a blouse was $4 more than the cost of a cardigan. He paid $243 more on cardigans than on blouses. Find the cost of 10 cardigans and 3 blouses.
|
Cardigans |
Blouses |
Number of sets |
2 sets |
1 set |
Compare each |
|
$4 more |
Total value |
$558 |
$315 |
Total cost of blouses
= (873 - 243) ÷ 2
= $315
Total cost of cardigans
= 315 + 243
= $558
2 sets of cardigans = $558
1 set of cardigans = 558 ÷ 2 = $279
1 set of blouses = $315
Difference in 1 set of blouses and 1 set of cardigans
= 315 - 279
= $36
Number of clothing in 1 set
= 36 ÷ 4
= 9
Cost of 1 cardigan
= 279 ÷ 9
= $31
Cost of 1 blouse
= 31 + 4
= $35
Price of 10 cardigans and 3 blouses
= (10 x 31) + (3 x 35)
= 310 + 105
= $415
Answer(s): $415