Lynn paid $69 for 5 skirts and 4 sweaters. Two skirts cost as much as three sweaters.
- Find the cost of one skirt.
- Find the total cost of 5 skirts and 2 sweaters.
(a)
Cost of 2 skirts = Cost of 3 sweaters
LCM of 3 and 2 = 6
Cost of 2 skirts = 6 u
Cost of 1 skirt = 6 u ÷ 2 = 3 u
Cost of 3 sweaters = 6 u
Cost of 1 sweater = 6 u ÷ 3 = 2 u
Cost of 5 skirts
= 5 x 3 u
= 15 u
Cost of 4 sweaters
= 4 x 2 u
= 8 u
Cost of 5 skirts and 4 sweaters
= 15 u + 8 u
= 23 u
23 u = 69
1 u = 69 ÷ 23 = 3
Cost of one skirt
= 3 u
= 3 x 3
= $9
(b)
Cost of 1 sweater
= 2 u
= 2 x 3
= $6
Total cost of 5 skirts and 2 sweaters
= 5 x 9 + 2 x 6
= 45 + 12
= $57
Answer(s): (a) $9; (b) $57
