Jose asks his friends to guess the higher of two grades he received on his math tests. he gives them two hints. the difference of the two grades is 16. the sum of one-eighth of the higher grade and one-half of the lower grade is 52. the system that represents his scores is below. x – y = 16 1/8 x+ 1/2 y = 52 what is the higher grade of jose’s two tests? a. 48 b. 52 c. 80 d. 96

Option D. 96 is the correct answer.

Explanation:

Let the higher grade be = x

Let the lower grade be = y

As given, The difference of the two grades is 16

or   .... (1)

The sum of one-eighth of the higher grade and one-half of the lower grade is 52.

  ... (2)

Putting the value of x=16+y in equation (2)

As x=16+y

x=16+80 = 96

Hence, higher grade is 96.

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.