Anna, Jean and Michael baked some tarts. Anna and Jean baked
57 of the tarts. Jean and Michael baked
25 of the tarts. Anna and Michael baked 589 tarts altogether.
- What fraction of the tarts did Anna and Michael bake altogether?
- How many tarts did the three girls bake in total?
| Anna |
Jean |
Michael |
Total |
| 5x5 |
2x5 |
7x5 |
| 3x7 |
2x7 |
5x7 |
| 21 u |
4 u |
10 u |
35 u |
(a)
The total number of tarts remains unchanged. Make the total number of tarts the same. LCM of 7 and 5 is 35.
Number of tarts baked by Jean
= 14 u - 10 u
= 4 u
Number of tarts baked by Anna and Michael
= 21 u + 10 u
= 31 u
Total number of tarts = 35 u
Fraction of the tarts baked by Anna and Michael =
3135(b)
Total number of tarts baked by Anna and Michael = 31 u
31 u = 589
1 u = 589 ÷ 31 = 19
Total number of tarts baked
= 35 u
= 35 x 19
= 665
Answer(s): (a)
3135; (b) 665
