Lynn paid $44 for 4 skirts and 2 cardigans. Five skirts cost as much as three cardigans.
- Find the cost of one skirt.
- Find the total cost of 4 skirts and 2 cardigans.
(a)
Cost of 5 skirts = Cost of 3 cardigans
LCM of 3 and 5 = 15
Cost of 5 skirts = 15 u
Cost of 1 skirt = 15 u ÷ 5 = 3 u
Cost of 3 cardigans = 15 u
Cost of 1 cardigan = 15 u ÷ 3 = 5 u
Cost of 4 skirts
= 4 x 3 u
= 12 u
Cost of 2 cardigans
= 2 x 5 u
= 10 u
Cost of 4 skirts and 2 cardigans
= 12 u + 10 u
= 22 u
22 u = 44
1 u = 44 ÷ 22 = 2
Cost of one skirt
= 3 u
= 3 x 2
= $6
(b)
Cost of 1 cardigan
= 5 u
= 5 x 2
= $10
Total cost of 4 skirts and 2 cardigans
= 4 x 6 + 2 x 10
= 24 + 20
= $44
Answer(s): (a) $6; (b) $44
