Answer:
1. ![14\geq 3x](https://tex.z-dn.net/?f=14%5Cgeq%203x)
The maximum number of rides he could go on is 4.
2. ![39\geq 11x](https://tex.z-dn.net/?f=39%5Cgeq%2011x)
Step-by-step explanation:
He has a total of $19 to spend. Therefore we can say that whatever we are going to spend has to be less than or equal to $19.
![19\geq x](https://tex.z-dn.net/?f=19%5Cgeq%20x)
She paid $5 for admission
![19\geq 5](https://tex.z-dn.net/?f=19%5Cgeq%205)
Rides cost $3 each. (Let x be the number of rides)
3x (three dollars for every ride x)
Add this to the original inequality.
![19\geq 5+3x](https://tex.z-dn.net/?f=19%5Cgeq%205%2B3x)
Since we are asked to find the number of rides she can ride, solve for x:
Start by subtracting 5.
![19-5\geq 3x](https://tex.z-dn.net/?f=19-5%5Cgeq%203x)
Combine like terms;
![14\geq 3x](https://tex.z-dn.net/?f=14%5Cgeq%203x)
Divide by 3.
![\frac{14}{3}\geq x](https://tex.z-dn.net/?f=%5Cfrac%7B14%7D%7B3%7D%5Cgeq%20%20x)
Divide.
14/3=4.6
12
------
20
18
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20
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We conclude that the maximum number of rides he could go on is 4
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Amanda has $40 to spend. Again, this means she can spend a maximum of 40. So, anything (x) has to be less than or equal to 40 (
)
She wants to buy a pair of flowers for $1
![40\geq 1](https://tex.z-dn.net/?f=40%5Cgeq%201)
The rest of the money will be spent on lily flowers. Each lily flower costs $11. Again, multiply 11 by the number of lily flowers, which we don't know so we'll call it x (11x)
Add it to the inequality
![40\geq 1+11x](https://tex.z-dn.net/?f=40%5Cgeq%201%2B11x)
Solve for x; begin by subtracting 1
![40-1\geq 11x](https://tex.z-dn.net/?f=40-1%5Cgeq%2011x)
Combine like terms;
![39\geq 11x](https://tex.z-dn.net/?f=39%5Cgeq%2011x)
Divide by 11
![\frac{39}{11}\geq x](https://tex.z-dn.net/?f=%5Cfrac%7B39%7D%7B11%7D%5Cgeq%20%20x)