# Spectrum Math Grade 4 Chapter 6 Lesson 13 Answer Key Problem Solving

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

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

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.
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
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.
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.
$$\frac{1}{2}$$
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.
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.
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.
$$\frac{1}{3}$$ 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.

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