Natalie paid $56 for 5 blouses and 4 hoodies. Two blouses cost as much as four hoodies.
- Find the cost of one blouse.
- Find the total cost of 3 blouses and 4 hoodies.
(a)
Cost of 2 blouses = Cost of 4 hoodies
LCM of 4 and 2 = 4
Cost of 2 blouses = 4 u
Cost of 1 blouse = 4 u ÷ 2 = 2 u
Cost of 4 hoodies = 4 u
Cost of 1 hoodie = 4 u ÷ 4 = 1 u
Cost of 5 blouses
= 5 x 2 u
= 10 u
Cost of 4 hoodies
= 4 x 1 u
= 4 u
Cost of 5 blouses and 4 hoodies
= 10 u + 4 u
= 14 u
14 u = 56
1 u = 56 ÷ 14 = 4
Cost of one blouse
= 2 u
= 2 x 4
= $8
(b)
Cost of 1 hoodie
= 1 u
= 1 x 4
= $4
Total cost of 3 blouses and 4 hoodies
= 3 x 8 + 4 x 4
= 24 + 16
= $40
Answer(s): (a) $8; (b) $40
