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

A. 8.99a + 6.99c=158.81

a=2c + 1

Step-by-step 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

answer: 2 answers

step-by-step explanation: the first one means to spread the product throughout the marketplace such that a large number of people can buy it.  

the second means the process of making a product or service available for the consumer or business user that needs it.

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