Linda, Opal and Neave baked some tarts. Linda and Opal baked
23 of the tarts. Opal and Neave baked
37 of the tarts. Linda and Neave baked 418 tarts altogether.
- What fraction of the tarts did Linda and Neave bake altogether?
- How many tarts did the three girls bake in total?
| Linda |
Opal |
Neave |
Total |
| 2x7 |
1x7 |
3x7 |
| 4x3 |
3x3 |
7x3 |
| 12 u |
2 u |
7 u |
21 u |
(a)
The total number of tarts the same. Make the total number of tarts unchanged. LCM of 3 and 7 is 21.
Number of tarts baked by Opal
= 9 u - 7 u
= 2 u
Number of tarts baked by Linda and Neave
= 12 u + 7 u
= 19 u
Total number of tarts = 21 u
Fraction of the tarts baked by Linda and Neave =
1921(b)
Total number of tarts baked by Linda and Neave = 19 u
19 u = 418
1 u = 418 ÷ 19 = 22
Total number of tarts baked
= 21 u
= 21 x 22
= 462
Answer(s): (a)
1921; (b) 462
