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Paul is making loaves of raisin bread to sell at a fundraising event. The recipe calls for 1/3 cups of raisins for each loaf, and Paul has 3 1/4 cups of raisins. I need help with b.

Paul is making loaves of raisin bread to sell at a fundraising event The recipe calls for 13 cups of raisins for each loaf and Paul has 3 14 cups of raisins I n class=

Respuesta :

a) 3 1/4 ÷ 1/3 =9 3/4
he can make 9 loaves of bread.

b) 9-9 3/4 = 3/4 cup of raisins left

Answer:

a. [tex]9\frac{3}{4}[/tex], from which he can make 9 loaves.

b. [tex]\frac{3}{4}[/tex] is the remaining part.

Step-by-step explanation:

Givens

  • The recipe calls for 1/3 cups of raisins for each loaf.
  • Pauls has 3 1/4 cups of raisins.

To find then number loaves that Paul can make, we just need to divide the number of cups of raising he has, and the cups of raisins need it according to the recipe.

[tex]3\frac{1}{4} \div \frac{1}{3}[/tex]

But, we first need to transform the mixed numero into a fraction, then we solve

[tex]3\frac{1}{4} \div \frac{1}{3}=\frac{13}{4} \div \frac{1}{3}=\frac{13}{4} \times \frac{3}{1}= \frac{39}{4}[/tex]

If we divide this fraction, we obtain a mixed number, becuase the division is not exact

[tex]\frac{39}{4}= 9\frac{3}{4}[/tex]

So, Paul can make [tex]9\frac{3}{4}[/tex] number of loaves. But, he cannot make an incomplete loaf, that means Paul can only make 9 loaves, and the remaining is 3/4, that's the "excess". You can get this answer by subtracting

[tex]9\frac{3}{4} - 9= \frac{39}{4}-9=\frac{39-36}{4}=\frac{3}{4}[/tex]

Therefore, the answers are

a. [tex]9\frac{3}{4}[/tex]

b. [tex]\frac{3}{4}[/tex]

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