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
![\begin{gathered} 8\text{ tablespoons of honey}\rightarrow10\text{ cups of flour} \\ x\text{ tablespoons of honey}\rightarrow20\text{ cups of flour} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/ar6h62xdhpiq3nlmuhe5st0qf84ifwzh1r.png)
there is a relation between the honey and the flour, is needs to be constant, so
Step 2
fin the ratio
![\begin{gathered} (8)/(10)=(x)/(20) \\ \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/c4jk493t86zcdt20ir5kgwx00wa1qyd2x7.png)
Now
Step 3
solve for x
![\begin{gathered} (8)/(10)=(x)/(20) \\ x=(8\cdot20)/(10) \\ x=(160)/(10) \\ x=16 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/r4bnoya5skk3j0e32tr5si5djt61ncmohd.png)
so, he uses 16 tablespoons