Question

Item 8 Question 1 The expression 10a+6c gives the cost (in dollars) for a adults and c children to eat at a buffet restaurant. a. The cost for 1 adult is $ . The cost for 1 child is $ . b. The total cost for 1 adult and 3 children is $ . Question 2 c. Is $30 enough for a family of 2 adults and 2 children to eat at the buffet?

Answer 1

Given:

The expression for total cost (in dollars) is

`10a+6c`

where, a adults and c children to eat at a buffet restaurant.

To find:

(a) The cost for 1 adult. The cost for 1 child .

(b) The total cost for 1 adult and 3 children is $ .

(c) Is $30 enough for a family of 2 adults and 2 children to eat at the buffet?

Solution:

(a) The expression for total cost (in dollars) is

`10a+6c`

Coefficient of a and c represents the cost for each adult and child respectively.

Therefore, the cost for 1 adult is $10. The cost for 1 child $6 .

(b) Substitute a=1 and c=3 in the given expression, to find the total cost for 1 adult and 3 children.

`10(1)+6(3)=10+18`

`10(1)+6(3)=28`

The total cost for 1 adult and 3 children is $28.

(c)

Substitute a=2 and c=2 in the given expression, to find the total cost for 2 adult and 2 children.

`10(2)+6(2)=20+12`

`10(2)+6(2)=32`

Since, 32>30, therefore, $30 is not enough for a family of 2 adults and 2 children to eat at the buffet.