Question

your family goes to a restaurant for dinner. there are 6 people in your family. some order the chicken dinner for $14.80, and some order steak for $17. if the total bill was $91, which system best represents the situation?

1. $x + y = 91$

$14.80x + 17y = 6$

1. $x + y = 6$

$14.80x + 17y = 91$

1. $x + y = 91$

$14.80x + 17y = 6$

1. $x + y = 6$

$14.80y + 17x = 91$

Explanation:

Step1: Define variables

Let $x$ = number of chicken dinners, $y$ = number of steak dinners.

Step2: Total people equation

Total family members = 6, so $x + y = 6$.

Step3: Total cost equation

Chicken costs $\$14.80$, steak $\$17$, total bill $\$91$. So $14.80x + 17y = 91$.

Step4: Match to options

Compare the system to the given choices.

Answer:

B. $x + y = 6$
$14.80x + 17y = 91$