A test consists of multiple choice questions worth 4 points and essay questions worth 8 points. The test has 22 questions that are worth a total of 100 points. Use a model to determine how many multiple choice questions are on the test.

14

16

19

22

Question

A test consists of multiple choice questions worth 4 points and essay questions worth 8 points. The test has 22 questions that are worth a total of 100 points. Use a model to determine how many multiple choice questions are on the test.

14

16

19

22

anonymous · Answer

3

anonymous · Answer

8x +88-4x=100
4x+88=100
4x=22
x=3

amistre64 · Answer

you can develop a system of 2 equations, with 2 unknowns

ttp · Answer

Isn't it 22

amistre64 · Answer

m + e = 22 ;  since there are 22 questions in all

4m+8e = 100 , 4 points for m and 8 ponts for e

amistre64 · Answer

how do you solve systems of equations?

ttp · Answer

m+e = 22 4m + 8e = 100 use substitution e=22-m ->4m + 8(22-m) = 100 -4m = -76 m = 19 Am i right?

amistre64 · Answer

let me chk, ill use elimination

-8m -8e = -176
  4m+8e = 100
----------------
         4m = 76

i like it

ttp · Answer

Thank you! :)

amistre64 · Answer

good luck ;)