Answer:
In 28 days George have the same amount of candy as Penelope.
Step-by-step explanation:
Given:
Penelope has 152 pieces of candy.
George has 124 pieces of candy.
Penelope eats 5 pieces each day.
George eats 4 pieces each day.
To find in how many days will George have the same amount of candy as Penelope.
Solution:
Let the number of days in which George have the same amount of candy as Penelope be =
Using unitary method.
If Penelope eat 5 pieces of candy in 1 day.
In days, he will eat =
candies
Thus, after days number of candies left with Penelope =
If George eat 4 pieces of candy in 1 day.
In days, he will eat =
candies
Thus, after days number of candies left with George =
Since, in days George have the same amount of candy as Penelope, so we have:
Solving for
Adding both sides.
Subtracting 124 both sides.
∴
Thus, in 28 days George have the same amount of candy as Penelope.