Problem

Solve the problem. See Example.EXAMPLE Finding the Value of an Unknown NumberIf 4 is multi...

Solve the problem. See Example.

EXAMPLE Finding the Value of an Unknown Number

If 4 is multiplied by a number decreased by 7, the product is 100. Find the number.

Step 1 Read the problem carefully. We are asked to find a number.

Step 2 Assign a variable to represent the unknown quantity.

Let x = the number.

Step 3 Write an equation.

Step 4 Solve the equation.

Step 5 State the answer. The number is 32.

Step 6 Check. When 32 is decreased by 7, we get 32 − 7 = 25. If 4 is multiplied by 25, we get 100, as required. The answer, 32, is correct.

The product of 5, and 3 more than twice a number, is 85. What is the number?

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