Xandra, Natalie and Brandon baked some tarts. Xandra and Natalie baked
23 of the tarts. Natalie and Brandon baked
34 of the tarts. Xandra and Brandon baked 462 tarts altogether.
- What fraction of the tarts did Xandra and Brandon bake altogether?
- How many tarts did the three girls bake in total?
| Xandra |
Natalie |
Brandon |
Total |
| 2x4 |
1x4 |
3x4 |
| 1x3 |
3x3 |
4x3 |
| 3 u |
5 u |
4 u |
12 u |
(a)
The total number of tarts the same. Make the total number of tarts unchanged. LCM of 3 and 4 is 12.
Number of tarts baked by Natalie
= 9 u - 4 u
= 5 u
Number of tarts baked by Xandra and Brandon
= 3 u + 4 u
= 7 u
Total number of tarts = 12 u
Fraction of the tarts baked by Xandra and Brandon =
712(b)
Total number of tarts baked by Xandra and Brandon = 7 u
7 u = 462
1 u = 462 ÷ 7 = 66
Total number of tarts baked
= 12 u
= 12 x 66
= 792
Answer(s): (a)
712; (b) 792
