Abi baked 139 wafers and cookies. She burnt 3 pieces and counted the remaining pieces.
13 of the cookies and
67 of the wafers were cherry flavoured. There were equal number of cookies and wafers that were apricot flavoured.
- How many unburnt apricot wafers were there?
- What fraction of the unburnt pastries were cherry wafers?
(a)
Number of pastries that was not burnt
= 139 - 3
= 136
Fraction of the cookies that was apricot flavoured
= 1 -
13 =
23 Fraction of the wafers that was apricot flavoured
= 1 -
67 =
17 The number of apricot cookies and apricot wafers was the same. Make the numerators the same.
23 Cookies =
1x27x2 Wafers
23 Cookies =
214 Wafers
Number of unburnt cookies = 3 u
Number of unburnt wafers = 14 u
Total number of unburnt pastries
= 3 u + 14 u
= 17 u
17 u = 136
1 u = 136 ÷ 17 = 8
Number of unburnt apricot wafers
= 2 u
= 2 x 8
= 16
(b)
Number of unburnt cherry wafers
= 14 u - 2 u
= 12 u
Unburnt cherry wafersTotal unburnt pastries =
123 + 14 =
1217 Answer(s): (a) 16; (b)
1217