The magic carpet charges $90 for installation and $9 per square yard of carpeting. the carpeterias installation price is $50 but the store charges $13 for each square yard. for what number of square yards if carpeting will the cost, including installation, be the same for both stores?

For this case, the first thing we must do is define variables.

We have then:

x: number of square yards of carpeting.

y: total cost.

We now write the equation for each store.

We have then:

For The magic carpet:

For The carpeterias:

By the time the price is the same we have:

From here, we clear the value of x.

We have then:

For 10 square yards the cost is the same in both stores.

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !