Question

Josiah owns a food truck that sells tacos and burritos. He only has

enough supplies to make 149 tacos or burritos. He sells each taco for
$5 and each burrito for $7.50. Josiah must sell a minimum of $930
worth of tacos and burritos each day. If 79 burritos were sold,
determine all possible values for the number of tacos that Josiah must
sell in order to meet the requirements. Your answer should be a
comma separated list of values. If there are no possible solutions,
submit an empty answer.

Answer 1

Explanation:

68-70 tacos

Answer 2

Therefore Josiah must sell 68 or 69 or 70 tacos in order to meet the requirement.

Explanation:

Given , Josiah owns a food truck that sells tacos and burritos.

He sells each burritos for $7.50. If 79 burritos were sold.

Then the price of 79 burritos is $(7.50×79) =$592.50

Let x tacos were sold.

He sells each tacos for $5.

Then the price of x tacos is = $(x × 5)=$5x

Also given that Josiah must sell a minimum of $930 worth of tacos and burritos.

Therefore,

5x+592.50≥ 930

⇔5x≥930-592.50

⇔5x≥337.5

⇔x≥67.5

But he only has enough supplies to make 149 tacos or burrito.

He already sold 79 burrito.

So, remain space for tacos is = (149-79) = 70

So,67.5≤x≤70

∴x = 68 or 69 or 70

Therefore Josiah must sell 68 or 69 or 70 tacos in order to meet the requirement.