Question

Jesus and Isabella spent $3043.51 to buy a new computer together. Jesus spent $438.47 more than Isabella. How much did Jesus spend and how much did Kara spend?

Answer 1

J = $1740.99

I = $1302.52

Explanation:

1) Write Equations

I + J = 3043.51

I + 438.47 = J

Where I = amount paid by Isabella and J = amount paid by Jesus

Thus by substituting I + 438.47 for J the equation becomes,

I + I + 438.47 = 3043.51

Combining like terms gives the final equation

2I + 438.47 = 3043.51

2) Solve the final Equation to find how much Isabella paid

2I + 438.47 = 3043.51

2I + 438.47 - 438.47 = 3043.51 - 438.47

2I = 2605.04

2I/2 = 2605.04/2

I = 1302.52

3) Then use the Third Equation to solve how much Jesus paid

I + 438.47 = J

(1302.52) + 438.47 = J

1740.99 = J