Yen had 160 less lollipops than Natalie. Natalie used
45 of her lollipops and Yen used
34 of her lollipops. In the end, Natalie had 4 times as much as Yen. Find the number of lollipops that Natalie had at first.
|
Natalie |
Yen |
Comparing Natalie and Parry at first |
|
160 less |
Before |
5x4 = 20 u |
4 u |
Change |
- 4x4 = - 16 u |
- 3 u |
After |
1x4 = 4 u |
1 u |
Comparing Natalie and Parry in the end |
4 u |
1 u |
The number of lollipops that Natalie had in the end is repeated. Make the number of lollipops that Natalie had in the end the same. LCM of 1 and 4 is 4.
Number of lollipops that Yen had less than Natalie
= 20 u - 4 u
= 16 u
16 u = 160
1 u = 160 ÷ 16 = 10
Number of lollipops that Natalie had at first
= 20 u
= 20 x 10
= 200
Answer(s): 200