Natalie had 203 more lollipops than Diana. Natalie used
78 of her lollipops and Diana used
23 of her lollipops. In the end, Natalie had 4 times as much as Diana. Find the number of lollipops that Diana had at first.
| |
Natalie |
Diana |
Comparing Natalie
and Parry at first |
203 more |
|
| Before |
8x4 =
32 u |
3 u |
| Change |
- 7x4 =
- 28 u |
- 2 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 Natalie had more than Diana
= 32 u - 3 u
= 29 u
29 u = 203
1 u = 203 ÷ 29 = 7
Number of lollipops that Diana had at first
= 3 u
= 3 x 7
= 21
Answer(s): 21
