Cupcakes are sold in Xylia Confectionery at the prices as shown:
1 cherry cupcake $1.60
1 vanilla cupcake $1.30
MrsYee bought 11 more vanilla cupcakes than cherry cupcakes from this confectionery. She paid $23 in total. How many cupcakes did Mrs Yee buy altogether?
|
Cherry cupcakes |
Vanilla cupcakes |
Total cupcakes |
Number |
1 u |
1 u + 11 |
|
Value |
1.60 |
1.30 |
|
Total value |
1.6 u |
1.3 u + 14.3 |
2.9 u + 14.3 |
Amount that Mrs Yee paid for cherry cupcakes
= 1 u x 1.60
= 1.6 u
Amount that Mrs Yee paid for vanilla cupcakes
= 1.30 x (1 u + 11)
= 1.3 u + 14.3
Total amount that Mrs Yee paid
= 1.6 u + 1.3 u + 14.3
= 2.9 u + 14.3
2.9 u + 14.3= 23
2.9 u = 23 - 14.3
2.9 u = 8.7
1 u = 8.7 ÷ 2.9 = 3
Number of cupcakes that Mrs Yee bought altogether
= 2 u + 11
= 2 x 3 + 11
= 6 + 11
= 17
Answer(s): 17