College

Write a proportion and solve.

A recipe calls for 3 tablespoons of butter for every 2 cups of flour. How many tablespoons of butter are needed if you are using 23 cups of flour?

Answer :

Answer:

34.5 tablespoons

Step-by-step explanation:

To solve this problem, we can set up a proportion based on the given information:

Proportion:

[tex] \sf \dfrac{3 \, \textsf{tablespoons of butter}}{2 \, \textsf{cups of flour}} = \dfrac{x \, \textsf{tablespoons of butter}}{23 \, \textsf{cups of flour}}[/tex]

Where

  • x is the number of tablespoons of butter needed for 23 cups of flour.

Solve for x:

Cross-multiply:

[tex] \sf 3 \times 23 = 2 \times x [/tex]

Simplify:

[tex] \sf 69 = 2x [/tex]

Solve for x:

[tex] \sf x = \dfrac{69}{2} [/tex]

[tex]\sf x = 34.5[/tex]

Conclusion:

You would need 34.5 tablespoons of butter for 23 cups of flour.