Archie sold
35 of the cupcakes he made in the morning and half of the remainder in the evening. He had 20 cupcakes left unsold.
- How many cupcakes did he sell altogether?
- If he sold 5 cupcakes for $2.80, 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 = 20
1 u = 20 ÷ 2 = 10
Number of cupcakes sold
= 10 u - 2 u
= 8 u
= 8 x 10
= 80
(b)
Number of sets of 5 cupcakes
= 80 ÷ 5
= 16
Amount that Archie received from the cupcakes he sold
= 16 x 2.80
= $44.80
Answer(s): (a) 80; (b) $44.80