Howard had
58 as many beads as Penelope. After Howard gave away 24 beads, he had 78 less beads than Penelope. How many beads did Penelope have?
| |
Howard |
Penelope |
| Before |
5 u |
8 u |
| Change |
- 24 |
|
| After |
5 u - 24 |
8 u |
Penelope had 78 more beads than Howard in the end. So, if Howard had another 78 beads, he would have the same number of beads as Penelope.
8 u = 5 u - 24 + 78
8 u - 5 u = 78 - 24
3 u = 54
1 u = 54 ÷ 3 = 18
Number of beads that Penelope had at first
= 8 u
= 8 x 18
= 144
Answer: 144
