Marcus and his friends have $$ \$ 125 $$ to spend on tickets and food at a movie theater. If the cost of the tickets is more than $$ \$ 75 $$, which inequality represents the dollar amount, $$ f $$ Marcus can spend on food? A) $$ f50 $$ C) $$ f200 $$ B) $$ f

Question

Marcus and his friends have $$ \$ 125 $$ to spend on tickets and food at a movie theater. If the cost of the tickets is more than $$ \$ 75 $$, which inequality represents the dollar amount, $$ f $$ Marcus can spend on food? A) $$ f>50 $$ C) $$ f>200 $$ B) $$ f<50 $$ D) $$ f<200 $$ Untitled Question * 1 point A) $$ f>50 $$ B) f $$ <50 $$ C) $$ f>200 $$ D) $$ f<200 $$

UpStudy AI · Accepted Answer

To determine the appropriate inequality for the amount $$ f $$ Marcus can spend on food, let's break it down:

1. **Total Budget:** $$ \$125 $$
2. **Cost of Tickets:** More than $$ \$75 $$, so $$ \text{Tickets} > \$75 $$

Since the total amount spent on tickets and food cannot exceed $$ \$125 $$, we can set up the following inequality:

$$
\text{Tickets} + f \leq 125
$$

Given that the cost of tickets is more than $$ \$75 $$:

$$
f \leq 125 - 75
$$
$$
f \leq 50
$$

However, since the cost of tickets is *greater than* $$ \$75 $$, the amount spent on food $$ f $$ must be *less than* $$ \$50 $$.

Therefore, the correct inequality is:

**B) $$ f < 50 $$**
The correct inequality is $$ f < 50 $$.

Solución de tutoría real

Responder

Solución

Mind Expander

preguntas relacionadas

Latest Algebra Questions