How many ounces of oil should be mixed with 6

Khaleesi Herbert

Khaleesi Herbert

Answered question

2021-08-15

How many ounces of oil should be mixed with 6 gallons of gas if the ratio is to be 40 parts of gas to 1 part of oil?

Answer & Explanation

Latisha Oneil

Latisha Oneil

Skilled2021-08-16Added 100 answers

Approach:
The quotient of two numbers is called a ratio.
Ex: 58 or 5:8
An equation indicating that two ratios are equal is called a proportion.
Ex: 34=1520,pq=rs
In the proportion, pq=rs, the numbers p and s are called extremes, and the numbers r and q are called the means.
In any proportion, the product of the extremes is equal to the product of the means.
Ex: ps=rq
Calculation:
First convert the 6 gallons into ounces.
1 gallons=128 ounces
6 gallons=6×128=768 ounces.
Let x be the number of ounces of oil needed.
Set up the proportion with given ratio and solve it.
401=768x
By property of proportions, the product of the extremes is equal to the product of the means.
40×x=1×768
40x=768
x=76840
x=19.2 ounces
Final statement:
The number of ounces of oil that should be mixed with 6 gallons of gas, if their ratio is to be 40 parts of gas to 1 part of oil is 19.2 ounces.

Jeffrey Jordon

Jeffrey Jordon

Expert2021-12-17Added 2605 answers

Answer is given below (on video)

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