Lynn, Nicole and Flynn baked some cupcakes. Lynn and Nicole baked
23 of the cupcakes. Nicole and Flynn baked
34 of the cupcakes. Lynn and Flynn baked 448 cupcakes altogether.
- What fraction of the cupcakes did Lynn and Flynn bake altogether?
- How many cupcakes did the three girls bake in total?
| Lynn |
Nicole |
Flynn |
Total |
| 2x4 |
1x4 |
3x4 |
| 1x3 |
3x3 |
4x3 |
| 3 u |
5 u |
4 u |
12 u |
(a)
The total number of cupcakes the same. Make the total number of cupcakes unchanged. LCM of 3 and 4 is 12.
Number of cupcakes baked by Nicole
= 9 u - 4 u
= 5 u
Number of cupcakes baked by Lynn and Flynn
= 3 u + 4 u
= 7 u
Total number of tarts = 12 u
Fraction of the cupcakes baked by Lynn and Flynn =
712(b)
Total number of cupcakes baked by Lynn and Flynn = 7 u
7 u = 448
1 u = 448 ÷ 7 = 64
Total number of cupcakes baked
= 12 u
= 12 x 64
= 768
Answer(s): (a)
712; (b) 768
