Cupcakes are sold in Xuan Bread Shop at the prices as shown:
1 apple cupcake $1.90
1 blueberry cupcake $1.10
MrsChoy bought 10 more blueberry cupcakes than apple cupcakes from this bread shop. She paid $14 in total. How many cupcakes did Mrs Choy buy altogether?
|
Apple cupcakes |
Blueberry 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 Choy paid for apple cupcakes
= 1 u x 1.90
= 1.9 u
Amount that Mrs Choy paid for blueberry cupcakes
= 1.10 x (1 u + 10)
= 1.1 u + 11
Total amount that Mrs Choy paid
= 1.9 u + 1.1 u + 11
= 3 u + 11
3 u + 11= 14
3 u = 14 - 11
3 u = 3
1 u = 3 ÷ 3 = 1
Number of cupcakes that Mrs Choy bought altogether
= 2 u + 10
= 2 x 1 + 10
= 2 + 10
= 12
Answer(s): 12