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Exercises Numbers, fractions and percents

Example 3.63 from Prealgebra, 3.5 Solve Equations Using Integers; The Division Property of Equality

Solve Equations Using Integers; The Division Property of Equality: example 3.63

Write an equation modeled by the envelopes and counters, and then solve it.

This image has two columns. In the first column are four envelopes. In the second column there are 8 blue circles.

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Solution
There are $4 envelopes,$ or $4$ unknown values, on the left that match the $8 counters$ on the right. Let’s call the unknown quantity in the envelopes $x .$

Write the equation.

Divide both sides by 4.

Simplify.

There are $2 counters$ in each envelope.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Write the equation modeled by the envelopes and counters. Then solve it.

This image has two columns. In the first column are four envelopes. In the second column there are 12 blue circles.

How did it go?

PreviousSolve Equations Using Integers; The Division Property of Equality: example 3.62 Next Solve Equations Using Integers; The Division Property of Equality: example 3.64

From Prealgebra (1st edition) by OpenStax (Rice University), section 3.5, licensed under CC BY 4.0. Original at openstax.org. We split the solution into steps; the words, numbers and figures are the book's. OpenStax doesn't endorse this site.