Question

Olivia has eight envelopes labeled “x” and an additional $218, and Jasmine has five envelopes labeled “x” and an additional $521. Each envelope has the same amount of money in it. How much money must be in each envelope for them to have the same amount of money? Write and solve an equation. Solve each of the following inequalities for the given variable. Represent your solutions algebraically and on a number line. Be sure to use a test point to check your solution region.

Answer 1

The envelopes have to have $101 for them to have the same amount of money.

x=$101

Explanation:

Answer 2

The envelopes have to have $101 for them to have the same amount of money.

x=$101

Explanation:

Olivia has eight envelopes labeled “x” and an additional $218, so we can write that she has this amount of money:

`M_o=8x+218`

Jasmine has five envelopes labeled “x” and an additional $521. We can write the money that Jasmine has as:

`M_j=5x+521`

If both have the same amount of money, we have:

`M_o=M_j\\\\8x+218=5x+521\\\\8x-5x=521-218\\\\3x=303\\\\x=303/3=101`

The envelopes have to have $101 for them to have the same amount of money.