In May, Erika and Neave had cards in the ratio 2 : 1. In June, each of them gave away the same number of cards. Erika then had five times as many cards as Neave.
- Find the ratio of the number of cards Neave had in May to the number of cards he had in June.
- Find the ratio of the total number of cards both had in May to the total number of cards both had in June.
| |
Erika |
Neave |
Difference |
| Before |
2x4 =
8 u |
1x4 =
4 u |
1x4 =
4 u |
| Change |
- 3 u |
- 3 u |
|
| After |
5x1 =
5 u |
1x1 =
1 u |
4x1 =
4 u |
(a)
Since Erika and Neave gave away the same number of cards, the difference in the number of cards between Erika and Neave at first and in the end remains the same.
Make the difference in the number of cards at first and in the end the same. LCM of 1 and 4 is 4.
Neave's cards in May : Neave's cards in June
4 : 1
(b)
Total number of cards in May
= 8 u + 4 u
= 12 u
Total number of cards in June
= 5 u + 1 u
= 6 u
Total cards in May : Total cards in June
12 : 6
(÷6)2 : 1
Answer(s): (a) 4 : 1; (b) 2 : 1
