Anna paid $44 for 5 shirts and 4 blouses. Three shirts cost as much as two blouses.
- Find the cost of one shirt.
- Find the total cost of 4 shirts and 2 blouses.
(a)
Cost of 3 shirts = Cost of 2 blouses
LCM of 2 and 3 = 6
Cost of 3 shirts = 6 u
Cost of 1 shirt = 6 u ÷ 3 = 2 u
Cost of 2 blouses = 6 u
Cost of 1 blouse = 6 u ÷ 2 = 3 u
Cost of 5 shirts
= 5 x 2 u
= 10 u
Cost of 4 blouses
= 4 x 3 u
= 12 u
Cost of 5 shirts and 4 blouses
= 10 u + 12 u
= 22 u
22 u = 44
1 u = 44 ÷ 22 = 2
Cost of one shirt
= 2 u
= 2 x 2
= $4
(b)
Cost of 1 blouse
= 3 u
= 3 x 2
= $6
Total cost of 4 shirts and 2 blouses
= 4 x 4 + 2 x 6
= 16 + 12
= $28
Answer(s): (a) $4; (b) $28
