Tina paid $9 for 5 hoodies and 2 cardigans. Four hoodies cost as much as two cardigans.
- Find the cost of one hoodie.
- Find the total cost of 2 hoodies and 5 cardigans.
(a)
Cost of 4 hoodies = Cost of 2 cardigans
LCM of 2 and 4 = 4
Cost of 4 hoodies = 4 u
Cost of 1 hoodie = 4 u ÷ 4 = 1 u
Cost of 2 cardigans = 4 u
Cost of 1 cardigan = 4 u ÷ 2 = 2 u
Cost of 5 hoodies
= 5 x 1 u
= 5 u
Cost of 2 cardigans
= 2 x 2 u
= 4 u
Cost of 5 hoodies and 2 cardigans
= 5 u + 4 u
= 9 u
9 u = 9
1 u = 9 ÷ 9 = 1
Cost of one hoodie
= 1 u
= 1 x 1
= $1
(b)
Cost of 1 cardigan
= 2 u
= 2 x 1
= $2
Total cost of 2 hoodies and 5 cardigans
= 2 x 1 + 5 x 2
= 2 + 10
= $12
Answer(s): (a) $1; (b) $12
