Emma, Esther and Elyse had a total of 289 cards. Emma gave
27 of her cards away. Elyse gave away 5 times as many cards as Emma and Esther gave away 52 cards. In the end, they had 189 cards left. How many cards did Esther and Elyse have in total in the end?
| |
Emma |
Esther |
Elyse |
Total |
| Before |
7 u |
? |
? |
289 |
| Change |
- 2 u |
- 52 |
- 10 u |
- 100 |
| After |
5 u |
? |
189 |
Number of cards that Elyse gave away
= 5 x 2 u
= 10 u
Number of cards given away
= 2 u + 52 + 10 u
= 12 u + 52
12 u + 52 = 289 - 189
12 u = 100 - 52
12 u = 48
1 u = 48 ÷ 12 = 4
Number of cards that Esther and Elyse had in the end
= 189 - 5 u
= 189 - 5 x 4
= 189 - 20
= 169
Answer(s): 169
