Penelope had 42 more marbles than Zoe. After Zoe gave away
58 of her marbles, Penelope had five times as many marbles as Zoe. How many marbles did Zoe have at first?
| |
Penelope |
Zoe |
Comparing Penelope and
Zoe at first |
42 more |
|
| Before |
15 u |
8 u |
| Change |
|
- 5 u |
| After |
15 u |
3 u |
Comparing Penelope and
Zoe in the end |
5x3 =
15 u |
1x3 =
3 u |
Number of marbles that Zoe had in the end is repeated. Make the number of marbles that Zoe had in the end the same. LCM of 1 and 3 is 3.
Number of marbles that Penelope had at first = 15 u
Number of marbles that Penelope had more than Zoe at first
= 15 u - 8 u
= 7 u
7 u = 42
1 u = 42 ÷ 7 = 6
Number of marbles that Zoe had at first
= 8 u
= 8 x 6
= 48
Answer(s): 48
