Question

how many cups of blueberries were used in all? x=1 smoothie add subtract multiply divide (you will need this number on the next slide!) cups cups of blueberries used per smoothie (a number line with 0, 1/4, 1/2, 3/4, 1, 1 1/4, 1 1/2, 1 3/4, 2 marked, and xs at each mark: 1 at 1/4, 4 at 1/2, 2 at 3/4, 1 at 1, 1 at 1 1/2, 1 at 2)

Explanation:

Step1: Count smoothies per amount

• $\frac{1}{4}$ cup: 1 smoothie
• $\frac{1}{2}$ cup: 4 smoothies
• $\frac{3}{4}$ cup: 2 smoothies
• 1 cup: 1 smoothie
• $1\frac{1}{2}$ cups: 1 smoothie
• 2 cups: 1 smoothie

Step2: Calculate total for each amount

$\frac{1}{4} \times 1 = \frac{1}{4}$
$\frac{1}{2} \times 4 = 2$
$\frac{3}{4} \times 2 = \frac{3}{2}$
$1 \times 1 = 1$
$1\frac{1}{2} \times 1 = \frac{3}{2}$
$2 \times 1 = 2$

Step3: Sum all totals

$$\frac{1}{4} + 2 + \frac{3}{2} + 1 + \frac{3}{2} + 2$$
Convert to quarters:
$$\frac{1}{4} + \frac{8}{4} + \frac{6}{4} + \frac{4}{4} + \frac{6}{4} + \frac{8}{4} = \frac{1+8+6+4+6+8}{4} = \frac{33}{4}$$
Simplify to mixed number:
$\frac{33}{4} = 8\frac{1}{4}$

Answer:

$8\frac{1}{4}$ cups