Fanny made some cupcakes. She sold
23 of them in the afternoon and
57 of the remainder in the evening. If she sold 99 more cupcakes in the afternoon than in the evening, how many cupcakes did she make altogether?
Afternoon |
Remainder |
Total |
2x7 |
1x7 |
3x7 |
|
Evening |
Left |
|
|
5 |
2 |
|
14 u |
5 u |
2 u |
21 u |
Fraction of cupcakes left after selling some in the afternoon
= 1 -
23 =
13 Fraction of cupcakes sold in the evening
=
57 x
13=
521Make the denominators the same.
23 =
1421 Number of cupcakes that Fanny sold in the afternoon = 14 u
Number of cupcakes that Fanny sold in the evening = 5 u
Number of more cupcakes that Fanny sold in the afternoon than in the evening
= 14 u - 5 u
= 9 u
9 u = 99
1 u = 99 ÷ 9 = 11
Total number of cupcakes that Fanny made
= 21 u
= 21 x 11
= 231
Answer(s): 231