Shannon paid $145 for 4 shirts and 3 skirts. Three shirts cost as much as five skirts.
- Find the cost of one shirt.
- Find the total cost of 5 shirts and 2 skirts.
(a)
Cost of 3 shirts = Cost of 5 skirts
LCM of 5 and 3 = 15
Cost of 3 shirts = 15 u
Cost of 1 shirt = 15 u ÷ 3 = 5 u
Cost of 5 skirts = 15 u
Cost of 1 skirt = 15 u ÷ 5 = 3 u
Cost of 4 shirts
= 4 x 5 u
= 20 u
Cost of 3 skirts
= 3 x 3 u
= 9 u
Cost of 4 shirts and 3 skirts
= 20 u + 9 u
= 29 u
29 u = 145
1 u = 145 ÷ 29 = 5
Cost of one shirt
= 5 u
= 5 x 5
= $25
(b)
Cost of 1 skirt
= 3 u
= 3 x 5
= $15
Total cost of 5 shirts and 2 skirts
= 5 x 25 + 2 x 15
= 125 + 30
= $155
Answer(s): (a) $25; (b) $155
