Yen had 34 less sweets than Fiona. Fiona used
45 of her sweets and Yen used
23 of her sweets. In the end, Fiona had 4 times as much as Yen. Find the number of sweets that Fiona had at first.
| |
Fiona |
Yen |
Comparing Fiona
and Parry at first |
|
34 less |
| Before |
5x4 =
20 u |
3 u |
| Change |
- 4x4 =
- 16 u |
- 2 u |
| After |
1x4 =
4 u |
1 u |
Comparing Fiona
and Parry in the end |
4 u |
1 u |
The number of sweets that Fiona had in the end is repeated. Make the number of sweets that Fiona had in the end the same. LCM of 1 and 4 is 4.
Number of sweets that Yen had less than Fiona
= 20 u - 3 u
= 17 u
17 u = 34
1 u = 34 ÷ 17 = 2
Number of sweets that Fiona had at first
= 20 u
= 20 x 2
= 40
Answer(s): 40
