Question

Ina recipe for tomato sauce, the ratio of fluid ounces of water to fluid ounc. of tomato paste is 3 : 4. You plan to make 35 fluid ounces of tomato sauce. Tow many fluid ounces of tomato paste do you need?

Equations and inequalities
ANSWERED
asked 2020-11-07
Ina recipe for tomato sauce, the ratio of fluid ounces of water to fluid ounc. of tomato paste is 3 : 4. You plan to make 35 fluid ounces of tomato sauce. Tow many fluid ounces of tomato paste do you need?

Answers (1)

2020-11-08
Let x be the amount of tomato paste so that \(\displaystyle{35}−{x}\) is the amount of water, both in fluid ounces. Using the ratio water/tomato paste, we write the proportion:
\(\displaystyle{\frac{{{35}-{x}}}{{{x}}}}{)}={\frac{{{3}}}{{{4}}}}\)
Solve for x:
\(\displaystyle{4}{\left({35}−{x}\right)}={3}{x}\)
\(\displaystyle{140}−{4}{x}={3}{x}\)
\(\displaystyle{140}={7}{x}\)
\(\displaystyle{x}={20}\)
So, you need 20 fluid ounces of tomato paste.
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