Zeph had 343 more coins than Luis at first. Then Zeph bought 41 more coins. In the end, Zeph has 4 times as many coins as Luis.
- How many coins did Luis have?
- Find the total number of coins Zeph and Luis had in the end?
| |
Zeph |
Luis |
Total |
| Before |
1 u + 343 |
1 u |
|
| Change |
+ 41 |
|
|
| After |
1 u + 343 + 41 |
1 u |
5 u |
(a)
Before
Number of coins that Zeph had = 1 u + 343
Number of coins that Luis had = 1 u
After
Number of coins that Zeph had = 1 u + 343 + 41 = 4 u
Number of coins that Luis had = 1 u
1 u + 343 + 41 = 4u
1 u + 384 = 4 u
4 u - 1 u = 384
3 u = 384
1 u = 384 ÷ 3 = 128
(a)
Number of coins that Luis had
= 1 u
= 128
(b)
Number of coins that Zeph and Luis had in the end
= 4 u + 1 u
= 5 u
= 5 x 128
= 640
Answer(s): (a) 128; (b) 640
