Barbara baked 124 macarons and biscuits. She burnt 5 pieces and counted the remaining pieces.
15 of the biscuits and
23 of the macarons were blueberry flavoured. There were equal number of biscuits and macarons that were chocolate chip flavoured.
- How many unburnt chocolate chip macarons were there?
- What fraction of the unburnt pastries were blueberry macarons?
(a)
Number of pastries that was not burnt
= 124 - 5
= 119
Fraction of the biscuits that was chocolate chip flavoured
= 1 -
15 =
45 Fraction of the macarons that was chocolate chip flavoured
= 1 -
23 =
13 The number of chocolate chip biscuits and chocolate chip macarons was the same. Make the numerators the same.
45 Biscuits =
1x43x4 Macarons
45 Biscuits =
412 Macarons
Number of unburnt biscuits = 5 u
Number of unburnt macarons = 12 u
Total number of unburnt pastries
= 5 u + 12 u
= 17 u
17 u = 119
1 u = 119 ÷ 17 = 7
Number of unburnt chocolate chip macarons
= 4 u
= 4 x 7
= 28
(b)
Number of unburnt blueberry macarons
= 12 u - 4 u
= 8 u
Unburnt blueberry macaronsTotal unburnt pastries =
85 + 12 =
817 Answer(s): (a) 28; (b)
817