Question

Use a linear equation to solve the following word problem. Ichiro has $100.00 in his

piggy bank, and he spends $1.50 every day. Sanjo has $8.00 in his piggy bank, and he
saves $2.50 every day. If they continue to spend and save money this way, how many
days would they have the same amount of money in their piggy banks? What is that
amount?

Answer 1

Answer : 23 days. To find the number of days it would take for Ichiro and Sanjo to have the same amount of money in their piggy banks, set up a linear equation and solve for x. It would take 23 days for them to have the same amount, and that amount would be $65.50.

Step-by-step explanation:

To find the number of days it would take for Ichiro and Sanjo to have the same amount of money in their piggy banks, we can set up a linear equation.

Let's let x represent the number of days it takes. The amount in Ichiro's piggy bank can be represented by the equation: 100 - 1.50x. The amount in Sanjo's piggy bank can be represented by the equation: 8 + 2.50x.

To find the number of days when they have the same amount, we can set these two equations equal to each other and solve for x:

100 - 1.50x = 8 + 2.50x

Subtract 2.50x from both sides: 100 - 4x = 8

Add 4x to both sides: 100 = 8 + 4x

Subtract 8 from both sides: 92 = 4x

Divide by 4: x = 23

Therefore, it would take 23 days for Ichiro and Sanjo to have the same amount of money in their piggy banks. To find the amount, we can substitute x into either equation. Using the first equation: 100 - 1.50x = 100 - 1.50(23) = 100 - 34.50 = 65.50.

So after 23 days, they would both have $65.50 in their piggy banks.