Andy had 279 more marbles than Glen at first. Then Andy bought 45 more marbles. In the end, Andy has 5 times as many marbles as Glen.
- How many marbles did Glen have?
- Find the total number of marbles Andy and Glen had in the end?
| |
Andy |
Glen |
Total |
| Before |
1 u + 279 |
1 u |
|
| Change |
+ 45 |
|
|
| After |
1 u + 279 + 45 |
1 u |
6 u |
(a)
Before
Number of marbles that Andy had = 1 u + 279
Number of marbles that Glen had = 1 u
After
Number of marbles that Andy had = 1 u + 279 + 45 = 5 u
Number of marbles that Glen had = 1 u
1 u + 279 + 45 = 5u
1 u + 324 = 5 u
5 u - 1 u = 324
4 u = 324
1 u = 324 ÷ 4 = 81
(a)
Number of marbles that Glen had
= 1 u
= 81
(b)
Number of marbles that Andy and Glen had in the end
= 5 u + 1 u
= 6 u
= 6 x 81
= 486
Answer(s): (a) 81; (b) 486
