Jamie was throwing darts at targets. When his dart landed in the center of the target(the bull eye)and he earned 7 points. However, when his dart landed on the outside ring he earned 2 points. After 50 throws his friend reported his score to be 160 points. Jamie wanted to know how many bulls eyes he had hit, but his friend did not know. how many bulls eyes did Jamie hit?

Question

Jamie was throwing darts at targets. When his dart landed in the center of the target(the bull eye)and he earned 7 points. However, when his dart landed on the outside ring he earned 2 points. After 50 throws his friend reported his score to be 160 points. Jamie wanted to know how many bulls eyes he had hit, but his friend did not know. how many bulls eyes did Jamie hit?

Answer 1

Let x = number of hits on the bull's eye, then 50-x = number of hits on the outside ring.

7x = points from bull's eye.
2(50-x) = points from ring.
7x + 2(50-x)=160
solve for x.
Check my thinking.

Answer 2

To figure out how many bull's eyes Jamie hit, we need to find the number of darts that landed in the center of the target.

Let's assume Jamie hit "x" bull's eyes.

Each bull's eye earns Jamie 7 points.

So, the total points earned from hitting bull's eyes is 7 * x.

Now, let's calculate the number of darts that did not hit a bull's eye.

The total number of throws is 50.

So, the number of darts that did not hit a bull's eye is 50 - x.

Each dart that did not hit a bull's eye earns Jamie 2 points.

So, the total points earned from darts that did not hit a bull's eye is 2 * (50 - x).

Jamie's friend reported his score to be 160 points.

This means the total points earned from hitting bull's eyes plus the total points earned from darts that did not hit a bull's eye is equal to 160.

Therefore, we can write the equation:

7x + 2(50 - x) = 160

Now, let's solve this equation to find the value of x.

7x + 100 - 2x = 160

Combining like terms:

5x + 100 = 160

Subtracting 100 from both sides:

5x = 60

Dividing both sides by 5:

x = 12

Therefore, Jamie hit 12 bull's eyes.

Answer 3

To determine the number of bull's eyes Jamie hit, we need to use the information given.

Let's consider the following:
- Bull's eye = 7 points
- Outside ring = 2 points

For each throw, Jamie either scores 7 points (bull's eye) or 2 points (outside ring). Let's say Jamie hit a bull's eye, i.e., scored 7 points, x times. Therefore, he hit the outside ring (2 points) for the remaining (50 - x) throws.

Using this information, we can construct an equation to solve for x, the number of bull's eyes hit:

7x + 2(50 - x) = 160

Simplifying the equation:
7x + 100 - 2x = 160
5x = 60
x = 12

So, Jamie hit 12 bull's eyes.