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A candidate running for office is putting on a gala as a fundraiser, with hopes of raising more than $\$7,800$ in political contributions. Single tickets cost $\$21$ , while an entire table can be reserved for $\$970$ . $\newline$ Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. $\newline$ $x =$ the number of single tickets sold $\newline$ $y =$ the number of tables sold $\newline$ Choices: $\newline$ (A) 970x + 21y > 7,800 $\newline$ (B) 21x + 970y > 7,800 $\newline$ (C) 21 + x + 970 + y > 7,800 $\newline$ (D) 970 + x + 21 + y > 7,800

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Write a linear inequality: word problems

Full solution

Q. A candidate running for office is putting on a gala as a fundraiser, with hopes of raising more than

\$7,800

in political contributions. Single tickets cost

\$21

, while an entire table can be reserved for

\$970

.

\newline

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

\newline

x =

the number of single tickets sold

\newline

y =

the number of tables sold

\newline

Choices:

\newline

(A)

970x + 21y > 7,800

\newline

(B)

21x + 970y > 7,800

\newline

(C)

21 + x + 970 + y > 7,800

\newline

(D)

970 + x + 21 + y > 7,800

Single Ticket Cost Calculation: Single ticket cost: $\$21$ Number of single tickets sold: $x$ Total revenue from single tickets: $21 \times x = 21x$
Table Cost Calculation: Table cost: $\$970$ $\newline$ Number of tables sold: $y$ $\newline$ Total revenue from tables: $970 \times y = 970y$
Total Revenue Calculation: Total revenue: $21x$ (from single tickets) + $970y$ (from tables) $\newline$ The candidate hopes to raise more than $\$7,800$ . $\newline$ Inequality: 21x + 970y > 7,800

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