Barbara had 120 more lollipops than Xuan. Barbara used
78 of her lollipops and Xuan used
34 of her lollipops. In the end, Barbara had 2 times as much as Xuan. Find the number of lollipops that Xuan had at first.
| |
Barbara |
Xuan |
Comparing Barbara
and Parry at first |
120 more |
|
| Before |
8x2 =
16 u |
4 u |
| Change |
- 7x2 =
- 14 u |
- 3 u |
| After |
1x2 =
2 u |
1 u |
Comparing Barbara
and Parry in the end |
2 u |
1 u |
The number of lollipops that Barbara had in the end is repeated. Make the number of lollipops that Barbara had in the end the same. LCM of 1 and 2 is 2.
Number of lollipops that Barbara had more than Xuan
= 16 u - 4 u
= 12 u
12 u = 120
1 u = 120 ÷ 12 = 10
Number of lollipops that Xuan had at first
= 4 u
= 4 x 10
= 40
Answer(s): 40
