Question

At an archery competiton, Jamie and Marshall's team tied Shawna and Wyatt's team for the top scores. Marshall scored 12 less than Jamie. Shawna scored twice as much as Marshall. Wyatt scored 4 less than Shawna. What was each person's individual score?

Answer 1

Let Jamie's score be J, Marshall's be M and Shawna's be S and Wyatt's be W

Answer 2

So now from the question M is 12 less than J, so can we write the following equation?
M=J-12?

Answer 3

m=j-12

Answer 4

And can we write S=2M?

Answer 5

and W=S-4?

Answer 6

s=2m
w=s-4

Answer 7

and finally as the combined scores of J and M are tied with those of S and W then,

J+M = S+W
right?

Answer 8

right

Answer 9

As m = j-12 so we can write it as
m+12 = j ??

Answer 10

As J+M = W+S
so
(M+12)+M = S+W
but S=2M
and W = S-4 = 2M -4
so now
(M+12)+M = 2M + 2M-4

Answer 11

Okay

Answer 12

So what is the value of M?

Answer 13

is it 8?

Answer 14

yup exactly!

Answer 15

and J,W and S?

Answer 16

:)

Answer 17

j=20
w=12
s=16
m=8
correct?

Answer 18

absolutely!

Answer 19

Thank you very much