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Answer :

a bakery uses 8 tablespoons of honey for every 10 cups of flour so how many tablespoons of honey do they use with 20 cups of flour ​

we can use a rule of three

Step 1

define

[tex]\begin{gathered} 8\text{ tablespoons of honey}\rightarrow10\text{ cups of flour} \\ x\text{ tablespoons of honey}\rightarrow20\text{ cups of flour} \end{gathered}[/tex]

there is a relation between the honey and the flour, is needs to be constant, so

Step 2

fin the ratio

[tex]\begin{gathered} \frac{8}{10}=\frac{x}{20} \\ \end{gathered}[/tex]

Now

Step 3

solve for x

[tex]\begin{gathered} \frac{8}{10}=\frac{x}{20} \\ x=\frac{8\cdot20}{10} \\ x=\frac{160}{10} \\ x=16 \end{gathered}[/tex]

so, he uses 16 tablespoons