Big Ideas Math: Modeling Real Life, Grade 7
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4. Percents of Increase and Decrease
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Exercise 4 Page 257

Let x represent the unknown number. Write and solve a percent equation using x.

56.25

Practice makes perfect

We know that 32 % of a number is 18. Let x be this unknown number.

We can write this relationship as a percent equation using x. 32 % * x=18 We will solve this equation using the Multiplication and Division Property of Equality. Let's do it!

32 % * x=18
32/100 * x=18
32x/100= 18
32x/100* 100 =18 * 100
32x = 18* 100
32x=1800

Next, we will use the Division Property of Equality to simplify the equation even further.

32x=1800
32x/32=1800/32
32x/32=1800/32
x=1800/32
x=56.25

We have that 18 is 32 % of 56.25.