Question

Question #bab68

Answer 1

`26` math problems and `16` science problems.

Explanation:

Let :

• `x =` math problems
• `y=` science problems

So

`x+y=42`
`x=y+10`

Then substitute `y+10` in for `x` to solve for `y`:

`y+10+y=42`

`2y+10=42`

`2y=32`

`y=16`

Plug `y` into either equation to solve for `x`:

`x=16+10`

`x=26`

Answer 2

There are `26` math problems and `16` science problems.

Explanation:

Let `x` equal the number of science problems, and `x+10` equal the number of math problems. Set their sum equal to `42`. Solve for `x`.

`x+x+10=42`

Simplify.

`2x+10=42`

Subtract `10` from both sides.

`2x+10-10=42-10`

Simplify.

`2x=32`

Divide both sides by `2`.

`x=32/2`

Simplify.

`x=16`

Number of science questions: `x=16`

Number of math questions: `x+10=16+10=26`