Question

Dean wrote the following situation to match the equation: Joseph has $3.00 in his piggy bank and adds $0.75 each day. Kelsey has $5.25 in her piggy bank and spends $0.25 each day. When will Joseph and Kelsey have the same amount in their piggy banks? Does Dean's situation match the equation? If not, explain.

Answer 1

To determine when Joseph and Kelsey will have the same amount in their piggy banks, we can set up and solve an equation. Joseph's total amount can be represented by the equation 3 + 0.75x, and Kelsey's total amount can be represented by the equation 5.25 - 0.25x. Solving the equation, we find that Joseph and Kelsey will have the same amount after approximately 2.25 days.

Step-by-step explanation:

To determine when Joseph and Kelsey will have the same amount in their piggy banks, we can set up and solve an equation. Let the number of days be represented by 'x'. Joseph's total amount can be represented by the equation 3 + 0.75x, and Kelsey's total amount can be represented by the equation 5.25 - 0.25x. We can set these two equations equal to each other and solve for 'x' to find when their amounts will be the same:

3 + 0.75x = 5.25 - 0.25x

Combining like terms, we get:

1x = 2.25

Dividing both sides by 1, we get:

x = 2.25

Therefore, Joseph and Kelsey will have the same amount in their piggy banks after approximately 2.25 days.