Question

4 Friends shot free throws for a charity event. Adam scored 8 more points than cheryl. Laura scored twice as many points as Adam. Tom scored 10 points less than Laura. Together the four friends scored a total of 66 points.Cheryl's Expression = Adam's Expression = Laura's Expression = Tom's Expression =State each person's points :Cheryl's points = Adam's points = Laura's points = Tom's points =

Answer 1

Let cheryl score "c", Adam score "a", Laura score "l" and Tom score "t", points.

Now, let's write equations for statements given.

Adam scores 8 more than Cheryl, so:

a = c + 8

or

c = a - 8

Laura scored twice as Adam, so:

l = 2a

Tom scores 10 less than Laura:

t = l - 10

or

t = 2a - 10

Altogether, they scored 66, so:

c + a + l + t = 66

Putting the 3 bold equations in the last one, we can solve for "a" first. Shown below:

`\begin{gathered} c+a+l+t=66 \\ a-8+a+2a+2a-10=66 \\ 6a-18=66 \\ 6a=66+18 \\ 6a=84 \\ a=(84)/(6) \\ a=14 \end{gathered}`

So,

c = a - 8

c = 14 - 8

c = 6

l = 2a

l = 2(14)

l = 28

t = 2a - 10

t = 2(14) - 10

t = 28 - 10

t = 18

So,

Adam = 14 points

Cheryl = 6 points

Laura = 28 points

Tom = 18 points