Question

james has $55 and spends $4 each day riding the bus. gina has $82 and spends $7 each day on parking. the equations shown below represent the amount of money, y, james and gina will have after x days. y = -4x + 58 y = -7x + 82 how many days will it take for james and gina to have the same amount of money? it will take \\(\square\\) days for them both to have $\\(\square\\). calculator

Explanation:

Step1: Set equations equal

To find when James and Gina have the same money, set \(-4x + 58 = -7x + 82\).

Step2: Solve for x

Add \(7x\) to both sides: \(3x + 58 = 82\).
Subtract 58: \(3x = 24\).
Divide by 3: \(x = 8\).

Step3: Find y (money)

Substitute \(x = 8\) into \(y = -4x + 58\):
\(y = -4(8) + 58 = -32 + 58 = 26\).

Answer:

It will take \(\boldsymbol{8}\) days for them both to have \(\boldsymbol{\$26}\).