11. Let the number of games you bowl = X
You need to multiply the cost per game by the number of games you play so you would get 2.50X.
You need to add the cost of the food to that, so now you have 2.50x +10.
At most you can spend $25, this means you can spend either 25 or any amount less than 25, so the inequality becomes:
2.50x +10 ≤ 25
Now solve for x:
subtract 10 from both sides:
2.50x ≤ 15
Divide both sides by 2.50:
x ≤ 15/2.50
x ≤ 6
The most games you can play is 6.
12.
a. 4|x-17| = 32
Divide each term by 4:
|x-17| = 8
Remove the absolute value term and make two equations:
x-17 = 8 and x -17 = -8
Solve for x in both equations:
x-17 = 8
Add 17 to both sides:
x = 25
And:
x- 17 = -8
Add 17 to both sides:
x = 9
The solution is X = 9 and X = 25
b. They won 9 gold medals and 25 total medals.
c. subtract gold and silver from the total medals:
25 - 9 - 9 = 25-19 = 6 bronze medals.
