Question

Keisha and her friends visit the concession stand at a football game. The stand charges $2 for a hot dog and $1 for a drink. The friends buy a total of 8 items for $11. Tell how many hot dogs and how many drinks they bought. $2.00 HOT DDLC 6100 STEP

Answer 1

EXPLANATION

Let's see the facts:

x= number of hot dogs they buy

y= number of drinks they buy

They buy 8 items, so

x + y = 8

Cost of a hot dog = $2

Cost of x hot dogs = 2x

Cost of a drink = $1

Cost of y drinks = 1y

The total amount they spent is:

2x + y

They spent $11, so

2x + y = 11

Now, we have a system of equations:

(1) x + y = 8

(2) 2x + y = 11

Subtracting (2) from (1):

2x + y = 11

- ( x + y = 8)

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x = 3

Then, to find the number of drinks they bought, substitute x=3 into x + y = 8 and the solve for y:

3 + y = 8

Subtracting -3 to both sides:

3 - 3 + y = 8 -3

Simplifying:

y = 5

Answer:

They bought 3 hot dogs and 5 drinks.