Vincent had 272 more marbles than Jenson at first. Then Vincent bought 58 more marbles. In the end, Vincent has 3 times as many marbles as Jenson.
- How many marbles did Jenson have?
- Find the total number of marbles Vincent and Jenson had in the end?
| |
Vincent |
Jenson |
Total |
| Before |
1 u + 272 |
1 u |
|
| Change |
+ 58 |
|
|
| After |
1 u + 272 + 58 |
1 u |
4 u |
(a)
Before
Number of marbles that Vincent had = 1 u + 272
Number of marbles that Jenson had = 1 u
After
Number of marbles that Vincent had = 1 u + 272 + 58 = 3 u
Number of marbles that Jenson had = 1 u
1 u + 272 + 58 = 3u
1 u + 330 = 3 u
3 u - 1 u = 330
2 u = 330
1 u = 330 ÷ 2 = 165
(a)
Number of marbles that Jenson had
= 1 u
= 165
(b)
Number of marbles that Vincent and Jenson had in the end
= 3 u + 1 u
= 4 u
= 4 x 165
= 660
Answer(s): (a) 165; (b) 660
