Cupcakes are sold in Sarah Confectionery at the prices as shown:
1 cheese cupcake $1.50
1 apple cupcake $1.30
MrsLeng bought 10 more apple cupcakes than cheese cupcakes from this confectionery. She paid $27 in total. How many cupcakes did Mrs Leng buy altogether?
|
Cheese cupcakes |
Apple cupcakes |
Total cupcakes |
Number |
1 u |
1 u + 10 |
|
Value |
1.50 |
1.30 |
|
Total value |
1.5 u |
1.3 u + 13 |
2.8 u + 13 |
Amount that Mrs Leng paid for cheese cupcakes
= 1 u x 1.50
= 1.5 u
Amount that Mrs Leng paid for apple cupcakes
= 1.30 x (1 u + 10)
= 1.3 u + 13
Total amount that Mrs Leng paid
= 1.5 u + 1.3 u + 13
= 2.8 u + 13
2.8 u + 13= 27
2.8 u = 27 - 13
2.8 u = 14
1 u = 14 ÷ 2.8 = 5
Number of cupcakes that Mrs Leng bought altogether
= 2 u + 10
= 2 x 5 + 10
= 10 + 10
= 20
Answer(s): 20