Question

a baker records the amount of flour, in cups, each recipe uses. each x represents 1 recipe.
flour used in each recipe
dot plot with xs: 0 has 4 xs, 1/4 has 4 xs, 1/2 has 2 xs, 3/4 has 3 xs, 1 has 2 xs
what is the total amount of flour, in cups, the baker uses?
a 15 cups
b 11 cups
c 10\frac{1}{4} cups
d 6\frac{1}{4} cups

Explanation:

Step1: Count x's per value

• At 0: 4 x's, total flour: \( 4\times0 = 0 \)
• At \( \frac{1}{4} \): 4 x's, total flour: \( 4\times\frac{1}{4} = 1 \)
• At \( \frac{1}{2} \): 2 x's, total flour: \( 2\times\frac{1}{2} = 1 \)
• At \( \frac{3}{4} \): 3 x's, total flour: \( 3\times\frac{3}{4} = \frac{9}{4} \)
• At 1: 2 x's, total flour: \( 2\times1 = 2 \)

Step2: Sum all amounts

Convert to quarters:
\( 0 + 1 + 1 + \frac{9}{4} + 2 = 4 + \frac{9}{4} = \frac{16}{4} + \frac{9}{4} = \frac{25}{4} = 6\frac{1}{4} \)

Answer:

D. \( 6\frac{1}{4} \) cups