Question

A food truck sells salads for $6.50 each and drinks for $2.00 each. The food trucks revenue from selling a total of 209 salads and drinks in one day was $936.50. How many salads were sold that day?

Answer 1

Number of salads sold is 115

Solution:

Let "s" be the number of salads sold

Let "d" be the number of drinks sold

Cost of 1 salad = $ 6.50

Cost of 1 drink = $ 2.00

The food trucks revenue from selling a total of 209 salads and drinks in one day was $936.50

number of salads sold + number of drinks sold = 209

s + d = 209 ------ eqn 1

The total revenue was $ 936.50

We can frame a equation as:

number of salads sold x Cost of 1 salad + number of drinks sold x Cost of 1 drink = 936.50

`s * 6.50 + d * 2.00 = 936.50`

6.5s + 2d = 936.50 ----- eqn 2

Let us solve eqn 1 and eqn 2 to find values of "s" and "d"

From eqn 1,

s = 209 - d ---- eqn 3

Substitute eqn 3 in eqn 2

6.5(209 - d) + 2d = 936.50

1358.5 - 6.5d + 2d = 936.50

-4.5d = -422

`d = 93.78 \approx 94`

Substitute d = 93.78 in eqn 3

s = 209 - 93.78

`s = 115.22 \approx 115`

Thus 115 salads were sold