Question

which of the following scenarios could be represented by the expression 10x 5y? a. the cost for x adults and y children to go to the movies if adult tickets are $10 and child tickets are $5. b. the total number of marbles in a jar if there are 5 green and 10 red. c. the total weight of a box containing x 5-ounce packages of almonds and y 10-ounce packages of peanuts. d. the number of kids in a school class if there are 10 girls and 5 boys.

Answer 1

A. 10(number of adults) + 5(number of children)

Answer 2

Answer: Option 'a' is correct because that can be represented by the expression 10x+5y.

Explanation:

Since we have given that

a). the cost for x adults and y children to go to the movies if adult tickets are $10 and child tickets are $5.

Let number of adult tickets be 'x'.

Let the number of child tickets be 'y'.

Cost of adult tickets = $10

Cost of child tickets = $5

So, the total amount will be represented as

`10x+5y`

c). the total weight of a box containing x 5-ounce packages of almonds and y 10-ounce packages of peanuts.

Let the number of 5 ounce packages of almonds be 'x'.

Let the number of 10 ounce packages of peanuts be 'y'.

So, the total weight will be represented as

`5x+10y\\eq 10x+5y`

So, only option 'a' is correct because that can be represented by the expression 10x+5y.