George sold
25 of the cupcakes he made in the afternoon and half of the remainder in the evening. He had 6 cupcakes left unsold.
- How many cupcakes did he sell altogether?
- If he sold 2 cupcakes for $2.60, how much did he receive from the cupcakes he sold?
(a)
Fraction of the cupcakes left after selling in the morning
= 1 -
25 =
35 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
35 =
310 Total number of cupcakes at first = 10 u
Number of cupcakes left = 3 u
3 u = 6
1 u = 6 ÷ 3 = 2
Number of cupcakes sold
= 10 u - 3 u
= 7 u
= 7 x 2
= 14
(b)
Number of sets of 2 cupcakes
= 14 ÷ 2
= 7
Amount that George received from the cupcakes he sold
= 7 x 2.60
= $18.20
Answer(s): (a) 14; (b) $18.20