At his school's spring carnival, Lorenzo is in charge of the balloon-launcher contest. In this contest, each team builds a catapult to launch water balloons at a target. Lorenzo gives a bucket of $15$ water balloons to each team in the contest. In all, he gives out $90$ water balloons. $\newline$ Which equation can you use to find the number of teams $t$ in the contest? $\newline$ Choices: $\newline$ (A) $t - 15 = 90$ $\newline$ (B) $\frac{t}{15} = 90$ $\newline$ (C) $15t = 90$ $\newline$ (D) $t + 15 = 90$ $\newline$ Solve this equation for $t$ to find the number of teams in the contest. $\newline$ $\_\_\_$ teams $\newline$

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Solve one-step and two-step linear equations: word problems

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Q. At his school's spring carnival, Lorenzo is in charge of the balloon-launcher contest. In this contest, each team builds a catapult to launch water balloons at a target. Lorenzo gives a bucket of

15

water balloons to each team in the contest. In all, he gives out

90

water balloons.

\newline

Which equation can you use to find the number of teams

t

in the contest?

\newline

Choices:

\newline

(A)

t - 15 = 90

\newline

(B)

\frac{t}{15} = 90

\newline

(C)

15t = 90

\newline

(D)

t + 15 = 90

\newline

Solve this equation for

t

to find the number of teams in the contest.

\newline

\_\_\_

teams

\newline

Set Up Equation: To find the number of teams $t$ that participated in the contest, we need to set up an equation that relates the number of water balloons given out to the number of teams. Since Lorenzo gives a bucket of $15$ water balloons to each team, and the total number of water balloons given out is $90$ , we can write the equation as $15t = 90$ , where $t$ represents the number of teams.
Isolate $t$ : Now we need to solve the equation $15t = 90$ for $t$ . To do this, we divide both sides of the equation by $15$ to isolate $t$ . $\newline$ $t = \frac{90}{15}$
Solve for $t$ : Perform the division to find the value of $t$ . $t = 6$