Fanny paid $65 for 5 hoodies and 4 shirts. Four hoodies cost as much as two shirts.
- Find the cost of one hoodie.
- Find the total cost of 2 hoodies and 5 shirts.
(a)
Cost of 4 hoodies = Cost of 2 shirts
LCM of 2 and 4 = 4
Cost of 4 hoodies = 4 u
Cost of 1 hoodie = 4 u ÷ 4 = 1 u
Cost of 2 shirts = 4 u
Cost of 1 shirt = 4 u ÷ 2 = 2 u
Cost of 5 hoodies
= 5 x 1 u
= 5 u
Cost of 4 shirts
= 4 x 2 u
= 8 u
Cost of 5 hoodies and 4 shirts
= 5 u + 8 u
= 13 u
13 u = 65
1 u = 65 ÷ 13 = 5
Cost of one hoodie
= 1 u
= 1 x 5
= $5
(b)
Cost of 1 shirt
= 2 u
= 2 x 5
= $10
Total cost of 2 hoodies and 5 shirts
= 2 x 5 + 5 x 10
= 10 + 50
= $60
Answer(s): (a) $5; (b) $60
