Question

1. use the diagram to help you answer the question.

after running two-thirds of a race, a runner had 5 miles left to go. how long was the race? ____________

1. use the diagram to help you answer the question.

three-fourths of a bag of potatoes was used. six pounds of potatoes are left. how much was there in the bag when it was full? ____________

1. draw a diagram to help you answer the question.

seven-eighths of a piece of wood is painted white. the other 3 inches are not painted. how long is the piece of wood? ____________

1. draw a diagram to help you answer the question.

five-sixths of a pole is above ground. the pole goes 2 feet underground. how long is the pole? ____________

Explanation:

Step1: Define total race length

Let total race length = $x$ miles.

Step2: Find remaining fraction

Remaining fraction: $1 - \frac{2}{3} = \frac{1}{3}$

Step3: Set up equation for race

$\frac{1}{3}x = 5$

Step4: Solve for race length

$x = 5 \times 3 = 15$

---

Step1: Define total potato weight

Let total potato weight = $y$ pounds.

Step2: Find remaining fraction

Remaining fraction: $1 - \frac{3}{4} = \frac{1}{4}$

Step3: Set up equation for potatoes

$\frac{1}{4}y = 6$

Step4: Solve for potato weight

$y = 6 \times 4 = 24$

---

Step1: Define total wood length

Let total wood length = $z$ inches.

Step2: Find unpainted fraction

Unpainted fraction: $1 - \frac{7}{8} = \frac{1}{8}$

Step3: Set up equation for wood

$\frac{1}{8}z = 3$

Step4: Solve for wood length

$z = 3 \times 8 = 24$

---

Step1: Define total pole length

Let total pole length = $w$ feet.

Step2: Find underground fraction

Underground fraction: $1 - \frac{5}{6} = \frac{1}{6}$

Step3: Set up equation for pole

$\frac{1}{6}w = 2$

Step4: Solve for pole length

$w = 2 \times 6 = 12$

Answer:

1. 15 miles
2. 24 pounds
3. 24 inches
4. 12 feet

Diagram for Question 3:

|---|---|---|---|---|---|---|---|
<-----7/8 painted white-----> <3 inches unpainted>
Total length = 24 inches

Diagram for Question 4:

|---|---|---|---|---|---|
<-----5/6 above ground-----> <2 feet underground>
Total length = 12 feet