Mrs Sim baked 326 more tarts than Olivia. After Mrs Sim sold 152 of her tarts, she had 3 times as many tarts as Olivia.
- How many tarts did Olivia bake?
- How many tarts did Mrs Sim bake?
|
Olivia |
Mrs Sim |
Before |
1 u |
1 u + 326 |
Change |
|
- 152 |
After |
1 u |
1 u + 174 |
(a)
After
Number of tarts that Olivia had = 1 u
Number of tarts that Mrs Sim had = 3 x 1 u = 3 u
Before
Number of tarts that Olivia baked = 1 u
Number of tarts that Mrs Sim baked = 1 u + 326
3 u = 1 u + 326 - 152
3 u - 1 u = 174
2 u = 174
1 u = 174 ÷ 2 = 87
Number of tarts that Olivia baked
= 1 u
= 87
(b)
Number of tarts that Mrs Sim baked
= 1 u + 326
= 87 + 326
= 413
Answer(s): (a) 87; (b) 413