Question

At the North Fair you earn 9 points for each bull's eye you hit, but you lose 7 points for each miss. After 25 tries, Linda has 33 points. How many hits did she have? Responses A 1414 B 1313 C 1212 D 11

Answer 1

Joshua is the place kicker for his college football team. Last season he kicked 42 times and never missed. Each field goal scored 3 points, and each extra point scored 1 point, for a total of 86 points. How many field goals did Joshua kick? Responses A 1919 B 2020 C 2222 D 23

Answer 2

Let's assume Linda had x hits and (25 - x) misses.
The points earned from the hits = 9 * x
The points lost from the misses = 7 * (25 - x)
Therefore, the equation becomes:
9x - 7(25 - x) = 33
9x - 175 + 7x = 33
16x = 33 + 175
16x = 208
x = 208/16
x = 13
So, Linda had 13 hits.
Therefore, the answer is B) 1313.

Answer 3

Let's assume Joshua kicked x field goals.
Since each field goal scored 3 points, the total points from field goals = 3 * x = 3x.
Since each extra point scores 1 point, and Joshua didn't miss any extra points, the total points from extra points = 1 * (42 - x) = 42 - x.
The total number of points can be calculated by adding the points from field goals and the points from extra points: 3x + (42 - x) = 86.
Combining like terms and simplifying the equation, we get:
2x + 42 = 86.
Subtracting 42 from both sides of the equation gives:
2x = 44.
Dividing both sides of the equation by 2 gives:
x = 22.
Therefore, Joshua kicked 22 field goals.
Thus, the answer is D) 23.