Mr. Gomez decided to give a test worth 90 points and contains 25 questions multiple-choice questions are worth three points and Word problems are worth four points how many of each of these questions are there

the test has 10 multiple-choice questions and 15 Word problems questions.

Step-by-step explanation:

Let x represent the number of multiple-choice questions in the test.

Let y represent the number of Word problems questions in the test.

The total number of multiple-choice and Word problems questions in the test is 25. This means that

x + y = 25

The multiple-choice questions are worth three points and Word problems are worth four points. The test is worth a total of 90 points. This means that

3x + 4y = 90 - - - - - - - - - - -1

Substituting x = 25 - y into equation 1, it becomes

3(25 - y) + 4y = 90

75 - 3y + 4y = 90

- 3y + 4y = 90 - 75

y = 15

x = 25 - y = 25 - 15

x = 10

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3