Arnob, Bella, Colin, Dante, and Erin are going to a baseball game. They have a total budget of 100 point 0 0 dollars to spend. Each game ticket costs 17 point 5 0 dollars and each drink costs 2 point 0 0 dollars The given inequality relates x , the number of drinks the 5 friends could buy in all, with their ticket costs and budget. 5 times 17 point 5 plus 2 x is less than or equal to 100 Which best describes the restrictions on the number of drinks they can buy?
Answer
A
They can buy only from 0 to 3 drinks, but no more.
B
They can buy only from 0 to 7 drinks, but no more.
C
They can buy only from 0 to 6 drinks, but no more.
D
They can buy only from 0 to 12 drinks, but no more.
Explanation
The five tickets cost 5 × $17.50 = $87.50, leaving $100 − $87.50 = $12.50 for drinks. At $2.00 each, they can buy at most 12.50 ÷ 2 = 6.25 drinks, so the greatest whole number they can buy is 6. They can buy any whole number from 0 through 6, which matches choice C.
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