Penelope had the same number of silver, yellow and white erasers at first. After giving some silver and yellow erasers and 74 white erasers away, Penelope had 212 erasers left. There were 3 times as many silver erasers as yellow erasers left. The number of white erasers left was 12 fewer than the number of silver erasers left. How many white erasers did she have at first?
| |
Yellow |
Silver |
White |
Total |
| Before |
3 u + 62 |
3 u + 62 |
3 u + 62 |
|
| Change |
- 2 u - 62 |
- 62 |
- 74 |
|
| After |
1 u |
3 u |
3 u - 12 |
212 |
Penelope had the same number of silver, yellow and white erasers at first.
Total number of erasers in the end
= 1 u + 3 u + 3 u - 12
= 7 u - 12
7 u - 12 = 212
7 u = 212 + 12
7 u = 224
1 u = 224 ÷ 7 = 32
Number of white erasers that Penelope had at first
= 3 u - 12 + 74
= 3 u + 62
= 3 x 32 + 62
= 158
Answer(s): 158
