Xylia, Olivia and Penelope had a total of 429 marbles. Xylia gave
35 of her marbles away. Penelope gave away 3 times as many marbles as Xylia and Olivia gave away 69 marbles. In the end, they had 132 marbles left. How many marbles did Olivia and Penelope have in total in the end?
|
Xylia |
Olivia |
Penelope |
Total |
Before |
5 u |
? |
? |
429 |
Change |
- 3 u |
- 69 |
- 9 u |
- 297 |
After |
2 u |
? |
132 |
Number of marbles that Penelope gave away
= 3 x 3 u
= 9 u
Number of marbles given away
= 3 u + 69 + 9 u
= 12 u + 69
12 u + 69 = 429 - 132
12 u = 297 - 69
12 u = 228
1 u = 228 ÷ 12 = 19
Number of marbles that Olivia and Penelope had in the end
= 132 - 2 u
= 132 - 2 x 19
= 132 - 38
= 94
Answer(s): 94