Linear Equations Using Ratio, Proportion, &

Percent

Concepts you MUST know:

• Ratio

• Proportion

Examples:

Write a ratio for each word phrase in simplest form:

1.) 5 hr to 3 hr

2.) 6 hr to 3 days

3.) 45 sec to 2 min

Concepts you MUST know:

• Unit Price

Examples:

Peanut butter is sold in 3 sizes for the following prices.

Which size is the best buy?

(Which one has the lowest unit price?)

Examples:

• Solving equations that are proportions.

𝑚 − 2

5=𝑚 + 1

3

Hey! That’s the same as cross-multiplying!

CAUTION!!!

Vs.𝑚 − 2

5=𝑚 + 1

3

𝑚 − 2

5=𝑚 + 1

3+ 17𝑚

If you use cross-products to solve… REMEMBER:

it DOES NOT WORK if there is more than one term on either side of the equal sign.

Cross-Multiplying DOESN’T WORK HERE

And now for word problems…REMEMBER -> Proportions must have a pattern!

$$ $$

Oz. Oz.

For example:

Examples:

You pump 5 gal of gas and the price is $16.60. When you finish filling the tank, the price is $48.14. How many gallons did you pump?

Examples:

A DVD that costs $18.50 has a sales tax of $0.43. How much tax will a $54.50 DVD player be charged?

Examples:

Biologists tagged 500 fish in a bay on May 5th.Later that day they caught 700 fish from the bay and found 13 tagged fish in the sample.

Estimate the total number of fish in the bay.

Your Assignment

• “2.6 Exercises”

• Work required on separate paper.

Optional Problems:

15, 42, 49, 59, 64, 73

FRACTION ANSWERS REQUIRED: 57 & 58