Mrs Chau baked 8 muffins more than cakes. Each muffin needed 0.08 kg of flour while each cake needed 0.6 kg of flour. She used 1.96 kg more flour for the cakes than for the muffins. How many muffins did Mrs Chau bake?
| |
Cakes |
Muffins |
Difference |
| Number |
1 u |
1 u + 8 |
|
| Value |
0.6 |
0.08 |
|
| Total value |
0.6 u |
0.08 u + 0.64 |
0.52 u - 0.64 |
Amount of flour needed for muffins
= 0.08 x (1 u + 8)
= 0.08 u + 0.64
Amount of more flour for the cakes than the muffins
= 0.6 u - (0.08 u + 0.64)
= 0.6 u - 0.08 u - 0.64
= 0.52 u - 0.64
0.52 u - 0.64 = 1.96
0.52 u = 1.96 + 0.64
0.52 u = 2.6
1 u = 2.6 ÷ 0.52 = 5
Number of muffins baked
= 1 u + 8
= 5 + 8
= 13
Answer(s): 13
