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The Lowell Playhouse wants to make at least $\$5,900$ on ticket sales this year. Currently, adults' tickets cost $\$69$ and children's tickets cost $\$16$ . $\newline$ Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. $\newline$ $x =$ the number of adults' tickets sold $\newline$ $y =$ the number of children's tickets sold $\newline$ Choices: $\newline$ (A) $69x + 16y > 5,900$ $\newline$ (B) $69x + 16y \leq 5,900$ $\newline$ (C) $69x + 16y < 5,900$ $\newline$ (D) $69x + 16y \geq 5,900$

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Write a linear inequality: word problems

Full solution

Q. The Lowell Playhouse wants to make at least

\$5,900

on ticket sales this year. Currently, adults' tickets cost

\$69

and children's tickets cost

\$16

.

\newline

Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.

\newline

x =

the number of adults' tickets sold

\newline

y =

the number of children's tickets sold

\newline

Choices:

\newline

(A)

69x + 16y > 5,900

\newline

(B)

69x + 16y \leq 5,900

\newline

(C)

69x + 16y < 5,900

\newline

(D)

69x + 16y \geq 5,900

Ticket Price Calculation: Adults' ticket price: $\$69$ Number of adults' tickets sold: $x$ Total revenue from adults' tickets: $69 \times x = 69x$
Total Revenue Calculation: Children's ticket price: $\$16$ Number of children's tickets sold: $y$ Total revenue from children's tickets: $16 \times y = 16y$
Minimum Revenue Requirement: Total revenue from both adults' and children's tickets: $69x + 16y$ $\newline$ The Playhouse wants to make at least $\$5,900$ . $\newline$ Inequality representing this situation: $69x + 16y \geq 5,900$

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