Elijah sold
35 of the cupcakes he made in the morning and half of the remainder in the afternoon. He had 18 cupcakes left unsold.
- How many cupcakes did he sell altogether?
- If he sold 2 cupcakes for $3.10, how much did he receive from the cupcakes he sold?
(a)
Fraction of the cupcakes left after selling in the morning
= 1 -
35 =
25 Fraction of the remaining cupcakes left after selling in the afternoon
= 1 -
12 =
12 Fraction of the cupcakes left after selling in the afternoon
=
12 x
25 =
210 Total number of cupcakes at first = 10 u
Number of cupcakes left = 2 u
2 u = 18
1 u = 18 ÷ 2 = 9
Number of cupcakes sold
= 10 u - 2 u
= 8 u
= 8 x 9
= 72
(b)
Number of sets of 2 cupcakes
= 72 ÷ 2
= 36
Amount that Elijah received from the cupcakes he sold
= 36 x 3.10
= $111.60
Answer(s): (a) 72; (b) $111.60
