Dana, Tammy and Ian baked some biscuits. Dana and Tammy baked
34 of the biscuits. Tammy and Ian baked
37 of the biscuits. Dana and Ian baked 460 biscuits altogether.
- What fraction of the biscuits did Dana and Ian bake altogether?
- How many biscuits did the three girls bake in total?
| Dana |
Tammy |
Ian |
Total |
| 3x7 |
1x7 |
4x7 |
| 4x4 |
3x4 |
7x4 |
| 16 u |
5 u |
7 u |
28 u |
(a)
The total number of biscuits remains unchanged. Make the total number of biscuits the same. LCM of 4 and 7 is 28.
Number of biscuits baked by Tammy
= 12 u - 7 u
= 5 u
Number of biscuits baked by Dana and Ian
= 16 u + 7 u
= 23 u
Total number of tarts = 28 u
Fraction of the biscuits baked by Dana and Ian =
2328(b)
Total number of biscuits baked by Dana and Ian = 23 u
23 u = 460
1 u = 460 ÷ 23 = 20
Total number of biscuits the three girls baked
= 28 u
= 28 x 20
= 560
Answer(s): (a)
2328; (b) 560
