Cupcakes are sold in Sarah Bread Shop at the prices as shown:
1 cranberry cupcake $1.90
1 vanilla cupcake $1.10
MrsSeow bought 10 more vanilla cupcakes than cranberry cupcakes from this bread shop. She paid $23 in total. How many cupcakes did Mrs Seow buy altogether?
|
Cranberry cupcakes |
Vanilla cupcakes |
Total cupcakes |
Number |
1 u |
1 u + 10 |
|
Value |
1.90 |
1.10 |
|
Total value |
1.9 u |
1.1 u + 11 |
3 u + 11 |
Amount that Mrs Seow paid for cranberry cupcakes
= 1 u x 1.90
= 1.9 u
Amount that Mrs Seow paid for vanilla cupcakes
= 1.10 x (1 u + 10)
= 1.1 u + 11
Total amount that Mrs Seow paid
= 1.9 u + 1.1 u + 11
= 3 u + 11
3 u + 11= 23
3 u = 23 - 11
3 u = 12
1 u = 12 ÷ 3 = 4
Number of cupcakes that Mrs Seow bought altogether
= 2 u + 10
= 2 x 4 + 10
= 8 + 10
= 18
Answer(s): 18