Nick spent $1930 on blouses and cardigans. The number of cardigans he bought was
13 the number of blouses he bought. The cost of a cardigan was $5 more than the cost of a blouse. He paid $890 more on blouses than on cardigans. Find the cost of 6 blouses and 8 cardigans.
|
Blouses |
Cardigans |
Number of sets |
3 sets |
1 set |
Compare each |
|
$5 more |
Total value |
$1410 |
$520 |
Total cost of cardigans
= (1930 - 890) ÷ 2
= $520
Total cost of blouses
= 520 + 890
= $1410
3 sets of blouses = $1410
1 set of blouses = 1410 ÷ 3 = $470
1 set of cardigans = $520
Difference in 1 set of cardigans and 1 set of blouses
= 520 - 470
= $50
Number of clothing in 1 set
= 50 ÷ 5
= 10
Cost of 1 blouse
= 470 ÷ 10
= $47
Cost of 1 cardigan
= 47 + 5
= $52
Price of 6 blouses and 8 cardigans
= (6 x 47) + (8 x 52)
= 282 + 416
= $698
Answer(s): $698