Ben sold
35 of the cupcakes he made in the morning and half of the remainder in the afternoon. He had 14 cupcakes left unsold.
- How many cupcakes did he sell altogether?
- If he sold 4 cupcakes for $1.20, 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 = 14
1 u = 14 ÷ 2 = 7
Number of cupcakes sold
= 10 u - 2 u
= 8 u
= 8 x 7
= 56
(b)
Number of sets of 4 cupcakes
= 56 ÷ 4
= 14
Amount that Ben received from the cupcakes he sold
= 14 x 1.20
= $16.80
Answer(s): (a) 56; (b) $16.80