Question

The next algebra test is worth 100 points and contains 35 problems. Multiple-Choice questions are worth 2 points each and word problems are 7 points each. How many of each type equation are there?

Answer 1

Let

x ----->number of multiple-choice questions

y ----> number of word problems

so

we have

x+y=35 --------> equation 1

2x+7y=100 -----> equation 2

solve the system of equations

Solve by graphing

using a graphing tool

see the attached figure

therefore

x=29

y=6

number of multiple-choice questions is 29

number of word problems is 6