Winnie, Anna and Gwen had a total of 288 marbles. Winnie gave
35 of her marbles away. Gwen gave away 5 times as many marbles as Winnie and Anna gave away 26 marbles. In the end, they had 118 marbles left. How many marbles did Anna and Gwen have in total in the end?
|
Winnie |
Anna |
Gwen |
Total |
Before |
5 u |
? |
? |
288 |
Change |
- 3 u |
- 26 |
- 15 u |
- 170 |
After |
2 u |
? |
118 |
Number of marbles that Gwen gave away
= 5 x 3 u
= 15 u
Number of marbles given away
= 3 u + 26 + 15 u
= 18 u + 26
18 u + 26 = 288 - 118
18 u = 170 - 26
18 u = 144
1 u = 144 ÷ 18 = 8
Number of marbles that Anna and Gwen had in the end
= 118 - 2 u
= 118 - 2 x 8
= 118 - 16
= 102
Answer(s): 102