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tatiyna
3 years ago
11

Beth and her sisters are going to the state fair. Each ride costs $7, and each exhibit costs $4. The table shows the number of r

ides and exhibits each of her sisters rode and viewed. Rides, r 7 2 5 Exhibits, e 3 5 6 Beth and her sisters each have $65 to spend at the fair. Write an inequality that describes the number of rides and exhibits they each can ride and view.
Mathematics
1 answer:
Maru [420]3 years ago
8 0

Answer:

7x + 3y </=8

Step-by-step explanation:

Let x represent the number of rides Beth rides and y represent the number of exhibits she views

Each ride costs $7 to ride and each exhibit costs $3 to view

This means that x rides will cost x × 7 = $7x

Also, if she views y exhibits, the cost will be y × 3 = $3y.

Total cost of x rides and y views will be 7x + 3y

if she has at most $98 to spend at the fair, it means that all she can spend must be lesser than or equal to $98

The required expression will be

7x + 3y </=8

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EXPLANATION

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\begin{gathered} \text{ Perimeter = 2 \lparen l + w\rparen} \\ \text{ Perimeter = 372 yards} \\ \text{ width = 87 yards} \\ \text{  372 = 2\lparen l + 87\rparen} \\ \text{ Divide both sides by 2} \\ \text{ }\frac{372}{2}\text{ = }\frac{2}{2}(l\text{ + 87\rparen} \\ 186\text{ = l + 87} \\ \text{  subtract 87 from each sides of the equation} \\ \text{ 186 - 87 = l + 87 - 87} \\ \text{  99 = l} \\ l\text{ = 99 yards} \end{gathered}

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