Mrs Archie baked
13 as many cranberry cupcakes as cherry cupcakes. She also baked
25 as many cranberry cupcakes as banana cupcakes. If she baked a total of 78 cupcakes, how many cranberry cupcakes did she bake?
Cranberry |
Cherry |
Banana |
1x2 |
3x2 |
|
2x1 |
|
5x1 |
2 u |
6 u |
5 u |
The number of cranberry cupcakes is the repeated identity. Make the number of cranberry cupcakes the same. LCM of 1 and 2 is 2.
Total number of cupcakes
= 2 u + 6 u + 5 u
= 13 u
13 u = 78
1 u = 78 ÷ 13 = 6
Number of cranberry cupcakes
= 2 u
= 2 x 6
= 12
Answer(s): 12