Audrey has $120 to spend on a tennis racket and lessons. The racket costs $45 and the lessons cost $15 per hour. Define a variable, then write and solve an equation to find how many hours of lessons she can afford.

Define the variable:
Let \( h \) represent the number of hours of lessons.

Write the equation:
\[ 45 + 15h = 120 \]

Solve the equation:
\[ 15h = 120 - 45 \]
\[ 15h = 75 \]
\[ h = 5 \]

Audrey can afford 5 hours of lessons.

Money Audrey has: $120 Cost of the racket: $45 Cost for lesson hour: $15 Hours Audrey can afford: x
120 = 45 + 15 * x 120 = 45 + 15x / - 45 (both sides) 75 = 15x / ÷ 15 (both sides) x = 5
Answer: Audrey can afford 5 hours of the lessons.
Doublecheck:
$45 + 5 * $15 = $45 + $75 = $120, so it's correct :)

Answered by SlowZasob | 2024-06-10

You have to model the situation by doing 120=15x+45, then subtract 45 to get 15x= 75, then divide by 15 to get 5 lessons.

Answered by 2019327 | 2024-06-10

Audrey can afford 5 hours of tennis lessons after purchasing the racket for $45 and using a total of $120. This is confirmed by solving the equation 45 + 15 h = 120 . Checking the math validates that these amounts are accurate.
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Answered by SlowZasob | 2024-10-01