Engage NY Eureka Math 4th Grade Module 7 Lesson 6 Answer Key
Eureka Math Grade 4 Module 7 Lesson 6 Problem Set Answer Key
Question 1.
Determine the following sums and differences. Show your work.
a. 3 qt + 1 qt = _______ gal
b. 2 gal 1 qt + 3 qt = _______ gal
c. 1 gal – 1 qt = _______ qt
d. 5 gal – 1 qt = _______ gal _______ qt
e. 2 c + 2 c = _______ qt
f. 1 qt 1 pt + 3 pt = _______ qt
g. 2 qt – 3 pt = _______ pt
h. 5 qt – 3 c _______ qt _______ c
Answer:
a. 3 qt + 1 qt = 1 gal
b. 2 gal 1 qt + 3 qt = 3 gal
c. 1 gal – 1 qt = 3 qt
d. 5 gal – 1 qt = 4 gal 3 qt
e. 2 c + 2 c = 1 qt
f. 1 qt 1 pt + 3 pt = 2 qt
g. 2 qt – 3 pt = 1 pt
h. 5 qt – 3 c = 4 qt 1 c
Question 2.
Find the following sums and differences. Show your work.
a. 6 gal 3 qt + 3 qt = _______ gal _______ qt
b. 10 gal 3 qt + 3 gal 3 qt = _______ gal _______ qt
c. 9 gal 1 pt – 2 pt = _______ gal _______ pt
d. 7 gal 1 pt – 2 gal 7 pt = _______ gal _______ pt
e. 16 qt 2 c + 4 c = _______ qt _______ c
6 gal 5 pt + 3 gal 3 pt = _______ gal _______ pt
Answer:
a. 6 gal 3 qt + 3 qt = 7 gal 2 qt
b. 10 gal 3 qt + 3 gal 3 qt = 14 gal 2 qt
c. 9 gal 1 pt – 2 pt = 8 gal 7 pt
d. 7 gal 1 pt – 2 gal 7 pt = 4 gal 2 pt
e. 16 qt 2 c + 4 c = 17 qt 2 c
6 gal 5 pt + 3 gal 3 pt = 10 gal 0 pt
Question 3.
The capacity of a pitcher is 3 quarts. Right now, it contains 1 quart 3 cups of liquid. How much more liquid can the pitcher hold?
Answer:
Given that,
The capacity of a pitcher = 3 quarts
Which means, 2 qt+4 cup
Also given, the pitcher contains 1 quart 3 cups of liquid
Now, 3 qt – 1 quart 3 cups =
1 qt 1 c
Therefore, the pitcher can hold 1 quart 1 cup more liquid.
Question 4.
Dorothy follows the recipe in the table to make her grandma’s cherry lemonade.
a. How much lemonade does the recipe make?
|
Cherry Lemonade |
|
| Ingredient |
Amount |
| Lemon Juice | 5 pints |
| Sugar Syrup | 2 cups |
| Water | 1 gallon 1 quart |
| Cherry Juice | 3 quarts |
Answer:
Give, 5 pints of lemon juice
2 cups = 2 pints of sugar syrup
1 gallon 1 quart = 10 pints of water
3 quarts = 6 pints of cherry juice
Total : 5 + 2 +10 +6 = 22
Therefore,the recipe makes 22 pints or 2 gallons 3 quarts of lemonade.
b. How many more cups of water could Dorothy add to the recipe to make an exact number of gallons of lemonade?
Answer:
The number of pints lemonade make = 22 pints or 2 gallons 3 quarts
1 qt = 4 cups
2 gallons 3 quarts + 1 qt = 3 gal
Therefore, Dorothy need to add 4 cups to make an exact number of gallons of lemonade.
Eureka Math Grade 4 Module 7 Lesson 6 Exit Ticket Answer Key
Question 1.
Find the following sums and differences. Show your work.
a. 7 gal 2 qt + 3 gal 3 qt = _______ gal _______ qt
b. 9 gal 1 qt – 5 gal 3 qt = _______ gal _______ qt
Answer:
a. 7 gal 2 qt + 3 gal 3 qt = 11 gal 1 qt
b. 9 gal 1 qt – 5 gal 3 qt = 3 gal 2 qt
Question 2.
Jason poured 1 gallon 1 quart of water into an empty 2-gallon bucket. How much more water can be added to reach the bucket’s 2-gallon capacity?
Answer:
Given that, 1 gallon 1 quart water is poured into 2 gallon bucket
2 gal – 1 gal 1 quart
= 1 gal 1 qt
We , know that, 1 gal = 4 qt
So, 4 qt – 1 qt = 3 qt
Therefore, Jason need to add 3 quarts more water to reach the bucket’s 2 gallon capacity.
Eureka Math Grade 4 Module 7 Lesson 6 Homework Answer Key
Question 1.
Determine the following sums and differences. Show your work.
a. 5 qt + 3 qt = _______ gal
b. 1 gal 2 qt + 2 qt = _______ gal
c. 1 gal – 3 qt =_______ qt
d. 3 gal – 2 qt = _______ gal _______ qt
e. 1 c + 3 c =_______ qt
f. 2 qt 3 c + 5 c = _______ qt
g. 1 qt – 1 pt = _______ pt
h. 6 qt – 5 pt = _______ qt _______ pt
Answer:
a. 5 qt + 3 qt = 2 gal
b. 1 gal 2 qt + 2 qt = 2 gal
c. 1 gal – 3 qt = 1 qt
d. 3 gal – 2 qt = 2 gal 2 qt
e. 1 c + 3 c = 1 qt
f. 2 qt 3 c + 5 c = 4 qt
g. 1 qt – 1 pt = 1 pt
h. 6 qt – 5 pt = 3 qt 1 pt
Question 2.
Find the following sums and differences. Show your work.
a. 4 gal 2 qt + 3 qt = _______ gal _______ qt
b. 12 gal 2 qt + 5 gal 3 qt = _______ gal _______ qt
c. 7 gal 2 pt – 3 pt = _______ gal _______ pt
d. 11 gal 3 pt – 4 gal 6 pt = _______ gal _______ pt
e. 12 qt 5 c + 6 c = _______ qt _______ c
f. 8 gal 6 pt + 5 gal 4 pt = _______ gal _______ pt
Answer:
a. 4 gal 2 qt + 3 qt = 5 gal 1 qt
b. 12 gal 2 qt + 5 gal 3 qt = 18 gal 1 qt
c. 7 gal 2 pt – 3 pt = 6 gal 7 pt
d. 11 gal 3 pt – 4 gal 6 pt = 6 gal 5 pt
e. 12 qt 5 c + 6 c = 14 qt 3 c
f. 8 gal 6 pt + 5 gal 4 pt = 14 gal 2 pt
Question 3.
The capacity of a bucket is 5 gallons. Right now, it contains 3 gallons 2 quarts of liquid. How much more liquid can the bucket hold?
Answer:
Given that ,
The quantity of the bucket = 5 gallons
The quantity of water the bucket contains now = 3 gallons 2 quarts
3 gal 2 quarts + 2 qt = 4 gallons
4 gal + 1 gal = 5 gallons
Therefore, the bucket can holds 1 gal 2 qt of more water.
Question 4.
Grace and Joyce follow the recipe in the table to make a homemade bubble solution.
a. How much solution does the recipe make?
|
Homemade Bubble Solution |
|
| Ingredient |
Amount |
| Water | 2 gallons 3 pints |
| Dish Soap | 2 quarts 1 cup |
| Corn Syrup | 2 cups |
Answer:
Given
2 gallons 3 pints of water
2 quarts 1 cup of dish soap and
2 cups of corn syrup
Total :
2 gal 3 pt + 2 qt 1 c + 2 c = 3 gallons 1 cup
Therefore, the recipe make 3 gal 1 cup of solution.
b. How many more cups of solution would they need to fill a 4-gallon container?
Answer:
The quantity of the recipe = 3 gal 1 cup
We know that, 1 gal = 4 qt
and 1 qt = 2 pt which means, 4 x 2 = 8 pt
1 pt = 2 cups which means, 8 x 2 = 16
Therefore, 3 gal 1 cup + 15 more cups can make 4 gallons of the recipe.