Mrs Flynn baked
14 as many cheese shortbreads as blueberry shortbreads. She also baked
25 as many cheese shortbreads as cranberry shortbreads. If she baked a total of 105 shortbreads, how many cheese shortbreads did she bake?
Cheese |
Blueberry |
Cranberry |
1x2 |
4x2 |
|
2x1 |
|
5x1 |
2 u |
8 u |
5 u |
The number of cheese shortbreads is the repeated identity. Make the number of cheese shortbreads the same. LCM of 1 and 2 is 2.
Total number of shortbreads
= 2 u + 8 u + 5 u
= 15 u
15 u = 105
1 u = 105 ÷ 15 = 7
Number of cheese shortbreads
= 2 u
= 2 x 7
= 14
Answer(s): 14