Are these ratios equivalent? 10 orange staplers : 6 red staplers 5 orange staplers : 3 red staplers Choices: (A)yes (B)no

Identify Ratios: Identify the given ratios. First ratio: 10 orange staplers to 6 red staplers. Second ratio: 5 orange staplers to 3 red staplers.Simplify First Ratio: Simplify the first ratio. Divide both terms of the ratio 10:6 by their greatest common divisor, which is 2. 10 ÷ 2 = 5, 6 ÷ 2 = 3. Simplified ratio = 5:3.Compare Ratios: Compare the simplified first ratio to the second ratio. Both ratios are 5:3.Conclude Equivalence: Conclude if the ratios are equivalent. Since both simplified ratios are the same, the ratios are equivalent.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Are these ratios equivalent? $\newline$ $10$ orange staplers : $6$ red staplers $\newline$ $5$ orange staplers : $3$ red staplers $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

View step-by-step help

Home

Math Problems

Grade 6

Equivalent ratios: word problems

Full solution

Q. Are these ratios equivalent?

\newline

10

orange staplers :

6

red staplers

\newline

5

orange staplers :

3

red staplers

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Identify Ratios: Identify the given ratios. $\newline$ First ratio: $10$ orange staplers to $6$ red staplers. $\newline$ Second ratio: $5$ orange staplers to $3$ red staplers.
Simplify First Ratio: Simplify the first ratio. $\newline$ Divide both terms of the ratio $10:6$ by their greatest common divisor, which is $2$ . $\newline$ $10 \div 2 = 5$ , $6 \div 2 = 3$ . $\newline$ Simplified ratio = $5:3$ .
Compare Ratios: Compare the simplified first ratio to the second ratio. $\newline$ Both ratios are $5:3$ .
Conclude Equivalence: Conclude if the ratios are equivalent. $\newline$ Since both simplified ratios are the same, the ratios are equivalent.