Box C and Box D have a total of 119 lollipops. After 10 lollipops were transferred from Box C to Box D, there were 6 times as many lollipops in Box C as Box D. How many lollipops were there in each box at first?
- Box C
- Box D
| |
Box C |
Box D |
Total |
| Before |
6 u + 10 |
1 u - 10 |
119 |
| Change |
- 10 |
+ 10 |
|
| After |
6 u |
1 u |
119 |
(a)
The total number of lollipops at first and in the end remains the same.
Total number of lollipops in the end
= 6 u + 1 u
= 7 u
7 u = 119
1 u = 119 ÷ 7 = 17
Number of lollipops in Box C at first
= 6 u + 10
= 6 x 17 + 10
= 102 + 10
= 112
(b)
Number of lollipops in Box D at first
= 1 u - 10
= 17 - 10
= 7
Answer(s): (a) 112; (b) 7
