<em><u>Question:</u></em>
Daniel had $25 to spend at the fair. If the admission to the fair is $4 and the rides cost $1.50 each, write an inequality that represent Daniels situation what is the greatest number of rides daniel can go on?
<em><u>Answer:</u></em>
<em><u>The inequality that represents Daniel situation is:</u></em>
![4 + 1.50x\leq 25](https://tex.z-dn.net/?f=4%20%2B%201.50x%5Cleq%2025)
The greatest number of rides Daniel can go is 14
<em><u>Solution:</u></em>
Daniel had $25 to spend at the fair
Total amount with Daniel = $ 25
Admission price = $ 4
Cost of 1 ride = $ 1.50
Let "x" be the number of rides
Then cost of "x" rides is 1.50x
<em><u>Then, we frame a inequality as:</u></em>
Admission price + cost of "x" ride
25
![4 + 1.50x\leq 25](https://tex.z-dn.net/?f=4%20%2B%201.50x%5Cleq%2025)
Here we used "less than or equal to" symbol, because he can spend maximum upto 25 dollars
<em><u>Solve for "x"</u></em>
![4 + 1.50x\leq 25\\\\1.50x \leq 25 -4\\\\1.50x\leq 21\\\\Divide\ both\ sides\ by\ 1.50\\\\x\leq 14](https://tex.z-dn.net/?f=4%20%2B%201.50x%5Cleq%2025%5C%5C%5C%5C1.50x%20%5Cleq%2025%20-4%5C%5C%5C%5C1.50x%5Cleq%2021%5C%5C%5C%5CDivide%5C%20both%5C%20sides%5C%20by%5C%201.50%5C%5C%5C%5Cx%5Cleq%2014)
Thus greatest number of rides is 14