Question

Question 12: Hannah baked some chocolate, strawberry and vanilla cupcakes.

She baked four times as many chocolate as strawberry cupcakes.
She baked three times as many chocolate as vanilla cupcakes.
Altogether Hannah made 152 cupcakes.
How many cupcakes of each flavour did Hannah make?

Answer 1

Chocolate cupcake be x=16
Strawberry cupcake be x/4=16/4=4
Vanilla cupcake be x/3=16/3=5.3=5

Explanation:-

Let the chocolate box be x
Therefore the strawberry be x/4
The vanilla be x/3
Now
x+x/4+x/3=152
12x+3x+4x/12=152
19x=152 x 12
x=152 x 2/19=16

Now Chocolate cupcake be x=16
Strawberry cupcake be x/4=16/4=4
Vanilla cupcake be x/3=16/3=5.3=5

Answer 2

Let's call the number of strawberry cupcakes "s".

So the number of chocolate cupcakes is 4s and the number of vanilla cupcakes is 3s.

Altogether, Hannah made s + 4s + 3s = 8s cupcakes.

We know that Hannah made 152 cupcakes, so 8s = 152

Therefore, s = 19

So Hannah made 19 strawberry cupcakes, 4 * 19 = 76 chocolate cupcakes, and 3 * 19 = 57 vanilla cupcakes.