A chef uses **3 3/4 pounds** of semolina flour and **1 5/8 pounds** of whole wheat flour for each batch of pasta she makes. One week, she uses a total of **86 pounds** of flour.
**WRITE AN EQUATION:**
Answer (3)
1 P a s t a = 8 18 + 8 5 = 8 23 pounds of flour
We create a proportion:
1 ( p a s t a s ) = 8 23
X = 86
86 = 8 23 x
86 = 2.875 x
x = 29.91
Chef will be able to make 29 Pastas and eat what's left :)
The chef uses 3 3/4 pounds of semolina flour and 1 5/8 pounds of whole wheat flour per batch of pasta.
To find the equation that represents the total amount of flour used by the chef in one week, we need to add the amount of semolina flour and whole wheat flour used for each batch of pasta. The chef uses 3 3/4 pounds of semolina flour and 1 5/8 pounds of whole wheat flour per batch. Let's convert these to improper fractions to make calculations easier: 3 3/4 pounds becomes 15/4 pounds and 1 5/8 pounds becomes 13/8 pounds. Adding these gives us the total flour used per batch, which is 15/4 + 13/8 = 30/8 + 13/8 = 43/8 pounds of flour per batch.
Let x be the number of batches made in one week. The equation for the total flour used in that week will be:
Equation: (43/8) * x = 86
To find the number of batches x, we can solve for x by dividing each side of the equation by 43/8, giving us:
Number of batches x = 86 / (43/8) = 86 * (8/43) = 16
The equation representing the chef's weekly use of flour in batch form is therefore (43/8)x = 86, where x equals 16.
To find the number of batches of pasta the chef can make with 86 pounds of flour, we first determine that each batch requires 8 43 pounds of flour. The equation 8 43 x = 86 allows us to solve for x , which comes out to be approximately 16 batches. Therefore, the chef can make 16 batches of pasta with the flour she has.
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