Vanessa paid $25 for 3 sweaters and 5 skirts. Two sweaters cost as much as five skirts.
- Find the cost of one sweater.
- Find the total cost of 2 sweaters and 4 skirts.
(a)
Cost of 2 sweaters = Cost of 5 skirts
LCM of 5 and 2 = 10
Cost of 2 sweaters = 10 u
Cost of 1 sweater = 10 u ÷ 2 = 5 u
Cost of 5 skirts = 10 u
Cost of 1 skirt = 10 u ÷ 5 = 2 u
Cost of 3 sweaters
= 3 x 5 u
= 15 u
Cost of 5 skirts
= 5 x 2 u
= 10 u
Cost of 3 sweaters and 5 skirts
= 15 u + 10 u
= 25 u
25 u = 25
1 u = 25 ÷ 25 = 1
Cost of one sweater
= 5 u
= 5 x 1
= $5
(b)
Cost of 1 skirt
= 2 u
= 2 x 1
= $2
Total cost of 2 sweaters and 4 skirts
= 2 x 5 + 4 x 2
= 10 + 8
= $18
Answer(s): (a) $5; (b) $18
