Fanny, Rachel and Henry baked some biscuits. Fanny and Rachel baked
23 of the biscuits. Rachel and Henry baked
34 of the biscuits. Fanny and Henry baked 455 biscuits altogether.
- What fraction of the biscuits did Fanny and Henry bake altogether?
- How many biscuits did the three girls bake in total?
| Fanny |
Rachel |
Henry |
Total |
| 2x4 |
1x4 |
3x4 |
| 1x3 |
3x3 |
4x3 |
| 3 u |
5 u |
4 u |
12 u |
(a)
The total number of biscuits the same. Make the total number of biscuits unchanged. LCM of 3 and 4 is 12.
Number of biscuits baked by Rachel
= 9 u - 4 u
= 5 u
Number of biscuits baked by Fanny and Henry
= 3 u + 4 u
= 7 u
Total number of tarts = 12 u
Fraction of the biscuits baked by Fanny and Henry =
712(b)
Total number of biscuits baked by Fanny and Henry = 7 u
7 u = 455
1 u = 455 ÷ 7 = 65
Total number of biscuits baked
= 12 u
= 12 x 65
= 780
Answer(s): (a)
712; (b) 780
