Question

After graduation, Duke's grandfather spent $158.81 taking the entire

family out to eat at a buffet. Adults ate for $8.99 and children ate for
$6.99. The number of adults was one more than twice the number of
children. Which system of equațions is used to find a, the number of
adults, and c, the number of children in Duke's family?

A. 8.99a + 6.99c=158.81
a=2c + 1

B. 6.99a + 8.99c =158.81
c=2a + 1

C. 8.99a + 6.99c = 318.62
c =2a + 1

D. 8.99a - 6.99c = 158.81
a =2c + 1

Answer 1

A. 8.99a + 6.99c=158.81

a=2c + 1

Explanation:

Let us represent

The number of Adults = a

The number of children = c

Duke's grandfather spent $158.81 taking the entire family out to eat at a buffet. Adults ate for $8.99 and children ate for $6.99.

$8.99 × a + $6.99 × c = $158.81

= 8.99a + 6.99c = 158.81

The number of adults was one more than twice the number of children.

a = 2c + 1

Hence:

The system of equations used are:

8.99a + 6.99c = 158.81

a = 2c + 1

Option A is correct