Question

I WILL MEDAL**
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?
A)
19

B)
20
C)
22
D)
23

Answer 1

lets call the number of field goals \(x\)
then since he kicked \(42\) times the number of extra points is \(42-x\)

Answer 2

Ok

Answer 3

each field goal is worth 3 for a total of \(3x\) and each extra point 1 for a total of \(1\times (42-x)\) or just \(42-x\)

Answer 4

I did by 42-z

Answer 5

since you know the total of all points scored is \(86\) you can solve
\[3x+42-x=86\]

Answer 6

oops actually 3 steps
combine like terms
subtract 42
divide by 2

Answer 7

So wha i need to find out what is z equal then thats the answer?

Answer 8

if you used z that is fine
equation will be
\[3z+42-z=86\]

Answer 9

*what

Answer 10

@triciaal do you think you know the answer?

Answer 11

i should hope so

Answer 12

Oh ok :)

Answer 13

can you solve it?

Answer 14

Ok i can solve it but i just need to know what the combine like terms are then i can do it

Answer 15

you have \(3z-z\) what is that?

Answer 16

Ok then i think 42 - y = x
42 - 22 = x
20 = x
So, he kicked 22 field goals and 20 extra points.

Answer 17

@satellite73 right?

Answer 18

yes