Muffins are sold in Vanessa Cake Shop at the prices as shown:
1 cranberry muffin $1.30
1 banana muffin $1.10
MrsSoh bought 12 more banana muffins than cranberry muffins from this cake shop. She paid $30 in total. How many muffins did Mrs Soh buy altogether?
|
Cranberry muffins |
Banana muffins |
Total muffins |
Number |
1 u |
1 u + 12 |
|
Value |
1.30 |
1.10 |
|
Total value |
1.3 u |
1.1 u + 13.2 |
2.4 u + 13.2 |
Amount that Mrs Soh paid for cranberry muffins
= 1 u x 1.30
= 1.3 u
Amount that Mrs Soh paid for banana muffins
= 1.10 x (1 u + 12)
= 1.1 u + 13.2
Total amount that Mrs Soh paid
= 1.3 u + 1.1 u + 13.2
= 2.4 u + 13.2
2.4 u + 13.2= 30
2.4 u = 30 - 13.2
2.4 u = 16.8
1 u = 16.8 ÷ 2.4 = 7
Number of muffins that Mrs Soh bought altogether
= 2 u + 12
= 2 x 7 + 12
= 14 + 12
= 26
Answer(s): 26