This handy **Spectrum Math Grade 4 Answer Key Chapter 6 Lesson 6.13 Problem Solving**Ā provides detailed answers for the workbook questions.

## Spectrum Math Grade 4 Chapter 6 Lesson 6.13 Problem Solving Answers Key

**Solve each problem. Write answers in simplest form. Show your work.**

Question 1.

It takes Carlos 2\(\frac{1}{6}\) days to make a model airplane and 1\(\frac{5}{6}\) days to make a model car. How many days will it take Carlos to make both?

It will take _____________ days for Carlos to make both.

Answer:

4

Explanation:

Given,

Carlos takes 2\(\frac{1}{6}\) days to make a model airplane.

1\(\frac{5}{6}\) days to make a model car.

Number of days will it take Carlos to make both,

when denominators are same add the numerators.

2\(\frac{1}{6}\) + 1\(\frac{5}{6}\)

\(\frac{1 + 5}{6}\) = \(\frac{6}{6}\) = 1

Now add the whole numbers.

2 + 1 = 3

So, 3 + 1 = 4.

Therefore, it will take 3 days for Carlos to make both.

Question 2.

Mr. Chen is going to the post office with two packages. One package weighs 6\(\frac{3}{8}\) kilograms and the other weighs 2\(\frac{1}{8}\) kilograms. How many kilograms are the two packages combined?

The packages weigh ______________ kilograms combined.

Answer:

8\(\frac{1}{2}\) kilograms.

Explanation:

Given,

One package weighs 6\(\frac{3}{8}\) kilograms.

The other weighs 2\(\frac{1}{8}\) kilograms.

Total kilograms are the two packages combined,

when denominators are same add the numerators.

6\(\frac{3}{8}\) + 2\(\frac{1}{8}\)

\(\frac{3 + 1}{8}\) = \(\frac{4}{8}\)

Reduce to the simplest form by dividing both the numerator and denominator with same number 4.

\(\frac{1}{2}\)

Now add the whole numbers.

6 + 2 = 8

So, the packages weigh 8\(\frac{1}{2}\) kilograms combined.

Question 3.

The beach is 6\(\frac{9}{10}\) miles from the Cabrera family. They have driven 2\(\frac{3}{10}\) miles toward the beach. How many more miles must the Cabrera family drive?

The Cabrera family must drive _______________ more miles.

Answer:

4\(\frac{3}{5}\) more miles.

Explanation:

Given,

The beach is 6\(\frac{9}{10}\) miles from the Cabrera family.

They have driven 2\(\frac{3}{10}\) miles toward the beach.

Number of more miles must the Cabrera family drive,

6\(\frac{9}{10}\) – 2\(\frac{3}{10}\)

\(\frac{9- 3}{10}\) = \(\frac{6}{10}\)

Reduce to the simplest form by dividing both the numerator and denominator with same number 2.

\(\frac{3}{5}\)

Now subtract the whole numbers.

6 – 2 = 4

So, the Cabrera family must drive 4\(\frac{3}{5}\) more miles.

Question 4.

Jaleela wants to paint her bedroom blue and gold. She has 4\(\frac{3}{8}\) gallons of blue paint and2\(\frac{1}{8}\) gallons of gold paint. How much more blue paint does Jaleela have than gold paint?

Jaleela has ______________ more gallons of blue paint than gold paint.

Answer:

2\(\frac{1}{4}\) more gallons.

Explanation:

Given,

Jaleela has 4\(\frac{3}{8}\) gallons of blue paint and,

2\(\frac{1}{8}\) gallons of gold paint.

Total more blue paint does Jaleela have than gold paint,

4\(\frac{3}{8}\) – 2\(\frac{1}{8}\)

\(\frac{3- 1}{8}\) = \(\frac{2}{8}\)

Reduce to the simplest form by dividing both the numerator and denominator with same number 2.

\(\frac{1}{4}\)

Now subtract the whole numbers.

4 – 2 = 2

So, Jaleela has 2\(\frac{1}{4}\) more gallons of blue paint than gold paint.

Question 5.

Travis is 5\(\frac{7}{12}\) feet tall Nathan is 5\(\frac{11}{12}\) feet tall. How much taller is Nathan than Travis?

Nathan is ______________ foot taller than Travis.

Answer:

\(\frac{1}{3}\) foot.

Explanation:

Given,

Travis is 5\(\frac{7}{12}\) feet tall.

Nathan is 5\(\frac{11}{12}\) feet tall.

Nathan is how much foot taller than Travis,

5\(\frac{11}{12}\) – 5\(\frac{7}{12}\)

When denominators same, subtract the numerators.

\(\frac{11 – 7}{12}\) = \(\frac{4}{12}\)

Reduce to the simplest form by dividing both the numerator and denominator with same number 4.

\(\frac{1}{3}\)

Now subtract the whole numbers.

5 – 5 = 0

So, Nathan is \(\frac{1}{3}\) foot taller than Travis.