Question

In her monthly tests, Mary got 20 more marks in Mathematics than in English. The total of her

marks for both tests were 130. Find her marks in each test

Answer 1

75 on mathematics and 55 on English!

Explanation:

Answer 2

English test score: 55

Mathematics test score: 75

Explanation:

Let
`e` be Mary's score on the English test.

We can say that
`e + 20` is her score on the Mathematics test, as the score for the Mathematics test is just the English test score but 20 higher.

Since both scores add up to 130, we can set up an equation to solve for the English test score. Since we said
`e + 20` is Mary's score on the Mathematics test,
`e + e + 20` is the total of her 2 test scores.

`e + e + 20 = 130\\2e + 20 = 130\\2e = 110\\\boxed{e = 55}`

This means that Mary got a 55 on her English test score.

To solve for the Mathematics test score we can substitute 55 for
`e` in
`e + 20`.

`e + 20 = 55 + 20 \rightarrow \boxed{75}`

This means Mary got a 75 on her Mathematics test.

Those are the answers

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