High School

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A circus recently spent $1650 on new trapezes. The trapezes cost $275 each.

Write an equation that could be used to find the number of trapezes, \( t \), that the circus bought.

Answer :

The equation that could be used to find the number of trapezes [tex]\( t \)[/tex] that the circus bought is [tex]\( 275t = 1650 \)[/tex].

To find the number of trapezes [tex]\( t \)[/tex] that the circus bought, we can set up a simple equation based on the information given. We know that each trapeze costs $275 and the total amount spent on trapezes is $1650.

Let [tex]\( t \)[/tex] represent the number of trapezes. The cost of one trapeze multiplied by the number of trapezes should equal the total cost. Therefore, the equation is:

[tex]\[ \text{Cost per trapeze} \times t = \text{Total cost} \][/tex]

Substituting the given values into the equation, we get:

[tex]\[ 275t = 1650 \][/tex]

This equation represents the relationship between the cost per trapeze, the number of trapezes, and the total cost. To find the number of trapezes [tex]\( t \)[/tex], one would solve for [tex]\( t \)[/tex] by dividing both sides of the equation by 275:

[tex]\[ t = \frac{1650}{275} \][/tex]

Solving this equation gives us the number of trapezes the circus bought.

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Rewritten by : Barada

Answer:

The equation for number of trapezes t is t = (total amount spent on trapezes)/(cost of each trapeze) and the circus bought 6 trapezes.

Step-by-step explanation:

In order to write an equation for the number of trapezes we first need to identify the variables that were given to us. The first one is the total amount of money spent on these trapezes, that is $1650, so the sum of the individual cost of all the trapezes should be equal to this value. The second information that was given to us is the individual price of each trapeze. With these two we can write the equation for t, where:

t = (total amount spent on trapezes)/(cost of each trapeze)

t = 1650/275 = 6