Question

Sam's test score is 12.5 more than Nicole's score. The sum of twice Sam's score and three times Nicole's score is 195. Write two equations. What are Sam and Nicole's test scores?

Answer 1

Sam=46.5 and Nicole=34.

Explanation:

Answer 2

Sam's test score is 46.5 and Nicole's score is 34.

Explanation:

Let Sam's test score be
`s`

and

Nicole's score be
`n`.

Then the relation is that,

`s=n+12.5---eqn(1)`

The sum of twice Sam's score and three times Nicole's score is 195 gives the equation,

`2s+3n=195---eqn(2)`

We put equation (1) into equation (2) to get,

`2(n+12.5)+3n=195`

We expand to get,

`2n+25+3n=195`

We group like terms to get,

`2n+3n=195-25`

`\Rightarrow 5n=170`

We divide both sides by 5 to get,

`n=34`

We put the value of
`n` into equation (1) to get,

`s=34+12.5`

`s=46.5`

Therefore Sam's test score is 46.5 and Nicole's score is 34.