Chapter 8, Problem 8CR

To determine

An equation and how many bracelets Samantha can make

Answer to Problem 8CR

The equation is $1.5x=15$

She can make bracelets are $x=10$ .

Explanation of Solution

Given:

Samantha has 15 packets of beads. She wants to make bracelets that use 1.5 packet s of beads each

Concept Used:

• To get rid of a number in addition from one side, subtract the same number from both sides of equal sign.
• To get rid of a number in subtraction from one side, add the same number both sides of equal sign.
• To get rid of a number in multiplication from one side, divide the same number from both sides of equal sign.
• To get rid of a number in division from one side, multiply the same number both sides of equal sign.

Rules of Addition/ Subtraction:

• Two numbers with similar sign always get added and the resulting number will carry the similar sign.
• Two numbers with opposite signs always get subtracted and the resulting number will carry the sign of larger number.

Rules of Multiplication/ Division:

• The product/quotient of two similar sign numbers is always positive.
• The product/quotient of two numbers with opposite signs is always negative.

Calculation:

In order to find the number of bars she makes

Let x be the number of bracelets she can make

Thus, the equation is $1.5x=15$

Here to isolate x on left side, first divide both sides by $1.5$ and then simplify further as shown below,

  $\begin{array}{c}1.5x=15\\ \frac{1.5x}{1.5}=\frac{15}{1.5}\\ x=10\end{array}$

Thus, she can make bracelets are $x=10$ .