Question

A math test is worth 100 points and has 38 problems. Each problem is worth either 5 points or 2 points. How many problems of each point value are on the test?
How many are five-point problems?
How many are two-point problems?

Answer 1

Answer:

Step One: Since the total number of points is 38, we can create the Let Statements:

Let x= one type of question

Let 38-x= the other type of questions

Step Two: Create an equation to relate the number of questions to the price

100=5x+2(38-x) Distribute

100=5x+76-2x Subtract 76 from both sides of the equation

100-76=5x-2x Combine like terms

24=3x Divide both sides by 3

8=x

∴There are eight questions of one type and 30 questions of the other type.

Step-by-step explanation:

please mark brainliest