Cupcakes are sold in Emily Confectionery at the prices as shown:
1 cheese cupcake $1.90
1 banana cupcake $1.50
MrsKoh bought 4 more banana cupcakes than cheese cupcakes from this confectionery. She paid $23 in total. How many cupcakes did Mrs Koh buy altogether?
|
Cheese cupcakes |
Banana cupcakes |
Total cupcakes |
Number |
1 u |
1 u + 4 |
|
Value |
1.90 |
1.50 |
|
Total value |
1.9 u |
1.5 u + 6 |
3.4 u + 6 |
Amount that Mrs Koh paid for cheese cupcakes
= 1 u x 1.90
= 1.9 u
Amount that Mrs Koh paid for banana cupcakes
= 1.50 x (1 u + 4)
= 1.5 u + 6
Total amount that Mrs Koh paid
= 1.9 u + 1.5 u + 6
= 3.4 u + 6
3.4 u + 6= 23
3.4 u = 23 - 6
3.4 u = 17
1 u = 17 ÷ 3.4 = 5
Number of cupcakes that Mrs Koh bought altogether
= 2 u + 4
= 2 x 5 + 4
= 10 + 4
= 14
Answer(s): 14