Mrs Ben baked
13 as many apple cupcakes as cranberry cupcakes. She also baked
23 as many apple cupcakes as strawberry cupcakes. If she baked a total of 77 cupcakes, how many apple cupcakes did she bake?
Apple |
Cranberry |
Strawberry |
1x2 |
3x2 |
|
2x1 |
|
3x1 |
2 u |
6 u |
3 u |
The number of apple cupcakes is the repeated identity. Make the number of apple cupcakes the same. LCM of 1 and 2 is 2.
Total number of cupcakes
= 2 u + 6 u + 3 u
= 11 u
11 u = 77
1 u = 77 ÷ 11 = 7
Number of apple cupcakes
= 2 u
= 2 x 7
= 14
Answer(s): 14