Ben had 255 more marbles than Mark at first. Then Ben bought 53 more marbles. In the end, Ben has 3 times as many marbles as Mark.
- How many marbles did Mark have?
- Find the total number of marbles Ben and Mark had in the end?
| |
Ben |
Mark |
Total |
| Before |
1 u + 255 |
1 u |
|
| Change |
+ 53 |
|
|
| After |
1 u + 255 + 53 |
1 u |
4 u |
(a)
Before
Number of marbles that Ben had = 1 u + 255
Number of marbles that Mark had = 1 u
After
Number of marbles that Ben had = 1 u + 255 + 53 = 3 u
Number of marbles that Mark had = 1 u
1 u + 255 + 53 = 3u
1 u + 308 = 3 u
3 u - 1 u = 308
2 u = 308
1 u = 308 ÷ 2 = 154
(a)
Number of marbles that Mark had
= 1 u
= 154
(b)
Number of marbles that Ben and Mark had in the end
= 3 u + 1 u
= 4 u
= 4 x 154
= 616
Answer(s): (a) 154; (b) 616
