Question

type the correct answer in each box. use numerals instead of words. if necessary, use / for the fraction bar(s). a group of friends are ordering food. the total amount that they can spend on their food bill is $41, including t the equation below represents the situation, where x is the cost of each friends meal. 6 + ax = 41 the cost of each friends meal in terms of a is . the cost of each friends meal when the number of friends is 5 is $ .

Explanation:

Step1: Isolate the term with \( x \)

Subtract 6 from both sides of the equation \( 6 + ax = 41 \).
\( ax = 41 - 6 \)
\( ax = 35 \)

Step2: Solve for \( x \) in terms of \( a \)

Divide both sides of the equation \( ax = 35 \) by \( a \) (assuming \( a
eq 0 \)).
\( x = \frac{35}{a} \)

Step3: Substitute \( a = 5 \) to find \( x \)

We know the number of friends is 5, so \( a = 5 \). Substitute \( a = 5 \) into \( x = \frac{35}{a} \).
\( x = \frac{35}{5} \)
\( x = 7 \)

Answer:

The cost of each friend’s meal in terms of \( a \) is \(\frac{35}{a}\).
The cost of each friend’s meal when the number of friends is 5 is \(\$7\).