Glen had 309 more marbles than Cody at first. Then Glen bought 54 more marbles. In the end, Glen has 4 times as many marbles as Cody.
- How many marbles did Cody have?
- Find the total number of marbles Glen and Cody had in the end?
| |
Glen |
Cody |
Total |
| Before |
1 u + 309 |
1 u |
|
| Change |
+ 54 |
|
|
| After |
1 u + 309 + 54 |
1 u |
5 u |
(a)
Before
Number of marbles that Glen had = 1 u + 309
Number of marbles that Cody had = 1 u
After
Number of marbles that Glen had = 1 u + 309 + 54 = 4 u
Number of marbles that Cody had = 1 u
1 u + 309 + 54 = 4u
1 u + 363 = 4 u
4 u - 1 u = 363
3 u = 363
1 u = 363 ÷ 3 = 121
(a)
Number of marbles that Cody had
= 1 u
= 121
(b)
Number of marbles that Glen and Cody had in the end
= 4 u + 1 u
= 5 u
= 5 x 121
= 605
Answer(s): (a) 121; (b) 605
