Question

Mar 17, 2:00:51 PMLogan and his children went into a restaurant and where they sell drinks for $3 eachand tacos for $2 each. Logan has $35 to spend and must buy at least 12 drinks andtacos altogether. If Logan decided to buy 5 drinks, determine all possible values forthe number of tacos that he could buy. Your answer should be a comma separated listof values. If there are no possible solutions, submit an empty answer.Answer:Submit Answeroacer

Answer 1

Given data:

The total cost is $ 35.

The numbers of drinks are x=5.

The expression for the total number of drinks and tocos together is,

`\begin{gathered} x+y\ge12 \\ 5+y\ge12 \\ y\ge7 \end{gathered}`

The expression for total cost is,

`3x+2y\leq35`

Substitute 5 for x in the above expression.

`\begin{gathered} 3(5)+2y\leq35 \\ 2y\leq20 \\ y\leq10 \end{gathered}`

Thus, the numbers of tocos may be 7, 8, 9, 10.