Luke sold
35 of the shortbreads he made in the morning and half of the remainder in the afternoon. He had 18 shortbreads left unsold.
- How many shortbreads did he sell altogether?
- If he sold 2 shortbreads for $4.30, how much did he receive from the shortbreads he sold?
(a)
Fraction of the shortbreads left after selling in the morning
= 1 -
35 =
25 Fraction of the remaining shortbreads left after selling in the afternoon
= 1 -
12 =
12 Fraction of the shortbreads left after selling in the afternoon
=
12 x
25 =
210 Total number of shortbreads at first = 10 u
Number of shortbreads left = 2 u
2 u = 18
1 u = 18 ÷ 2 = 9
Number of shortbreads sold
= 10 u - 2 u
= 8 u
= 8 x 9
= 72
(b)
Number of sets of 2 shortbreads
= 72 ÷ 2
= 36
Amount that Luke received from the shortbreads he sold
= 36 x 4.30
= $154.80
Answer(s): (a) 72; (b) $154.80
