This post has the answer key of the Eureka Math Lesson 15 Homework 5.3. For those who have just finished the homework and want to check if you get everything right, here is the answer key for you:
Solve the word problems using the RDW strategy. Show all your work.
- Question: A baker buys a 5 lb bag of sugar. She uses 1 2/3 lb to make some muffins and 2 ¾ lb to make a cake. How much sugar does she have left?
Answer : 1 2/3 + 2 ¾ = 3 2/3 + ¾ = 3 + 3/12 + 9/12 = 3 17/12 = 4 5/12
5 – 4 5/12 = 1 – 5/12 = 12/12 – 5/12 = 7/12
The baker has 7/12 pound of sugar left over.
- Question: A boxer needs to lose 3 ½ kg in a month to be able to complete as a flyweight. In three weeks, he lowers his weight from 55.5 kg to 53.8 kg. how many kg must the boxer lose in the final week to be able to complete as a flyweight?
Answer: 55 5/10 – 53 8/10 = 2 5/10 – 8/10 = 1 15/10 – 8/10 = 1 7/10 = 1.7
3 ½ – 1 7/10 = 2 ½ – 7/10 = 2 5/10 – 7/10 = 1 15/10 – 7/10 = 1 8/10 = 1 4/5
In can be concluded that that boxer needs to lose 1 8/10 kg.
- Question: A construction company builds a new rail line from Town A to Town B. they complete 1 ¼ miles in their first week of work and 1 2/3 miles in the second week. If they still have 25 ¾ left to build, what is the distance from Town A to Town B?
Answer: 1 ¼ + 1 2/3 + 25 ¾ = 27 + 1 + 2/3 = 28 2/3
It is 28 2/3 miles from Town A to Town B.
- Question: A catering company needs 8.75 lb of shrimp for a small party. They buy 3 2/3 lb of jumbo shrimp, 2 5/8 lb of medium-sized shrimp, and some mini-shrimp. How many pounds of mini-shrimp do they buy?
Answer: 3 2/3 + 2 5/8 = 5 16/24 + 15/24 = 5 31/24 = 5 + 1 7/24 = 6 7/24
8 ¾ – 6 7/24 = 2 ¾ – 7/24 = 2 + (3/4 x 6/6) – 7/24 = 2 + 18/24 – 7/24 = 2 11/24
They buy 2 11/24 lbs of mini-shrimp.
- Question: Mark breaks up a 9-hour drive into 3 segments. He drives 2 ½ hours before stopping for lunch. After driving some more, he stops for gas. If the second segment of his drive was 1 2/3 hours longer than the first segment, how long did he drive after stopping for gas?
Answer: 9 – 6 2/3 = 3 – 2/3 = 2 1/3
It can be concluded that Mark drove for 2 1/3 hours after stopping for gas.
So, how many correct answers do you get? Aside from to check which one is right and which one is wrong, you can also check out the answer key above in case you are having a hard time while trying to solve the homework. Before anything, it is always recommended to try your best first and to not straight up to check the correct answers to practice your brain and the way you are thinking about something.
Apart from the answer key of Lesson 15 Homework 5.3, you might also need the answer key of the previous lesson, which is Lesson 14 Homework 5.3. Check out everything below and count how many answers do you get right. If the result that you get is not satisfying, you are encouraged to practice more and more as it has been known that practices make perfect. Do not give up and keep going until you can solve a thing well.
- Rearrange the terms so that you can add or subtract mentally, then solve.
a. 1 ¾ + ½ + ¼ + ½ = 2 + 1 = 3
b. 3 1/6 – ¾ + 5/6 = 4 – ¾ = 3 1/4
c. 5 5/8 – 2 6/7 – 2/7 – 5/8 = 5 – 3 1/7 = 2 – 1/7 = 1 6/7
d. 7/9 + ½ – 3/2 + 2/9 = 1 + ½ – 3/2 = 3/2 – 3/2 = 0
2. Fill in the blank to make the statement true.
g. 7 ¾ – 1 2/7 – 3/2 = 4 27/28
h. 9 5/6 + 1 ¼ + 2 11/12 = 14
i. 7/10 – 1 + 3/2 = 6/5
j. 37 7/8 – 20 – 3 ¼ = 14 5/8
k. 17/3 + 2 19/30 + 5/2 = 10 4/5
l. 23.1 + 1 7/10 – 18 2/10 = 66/10
3. Laura bought 8 3/10 yd or ribbon. She used 1 2/5 yd to tie a package and 2 1/3 to make a bow. Joe later gave her 4 3/5 yd. How much ribbon does she now have?
Answer: 8 3/10 + 4 3/5 – 1 2/5 – 2 1/3 = 8 3/10 + 4 6/10 – 1 4/10 – 2 1/3 = 11 5/10 – 2 1/3 = 11 ½ – 2 1/3 = 11 3/6 – 2 2/6 = 9 1/6
From the thing above, it can be concluded that Laura now has 9 1/6 yards of ribbon.
- Mia bought 10 1/9 lb of flour. She used 2 ¾ lb of flour to bake a banana cake and some to bake a chocolate cake. After baking the two cakes, she had 3 5/6 lb of flour left. How much flour did she use to make the chocolate cake?
Answer: 2 ¾ + 3 5/6 = 5 ¾ + 5/6 = 5 9/12 + 10/12 = 5 19/12 = 6 7/12
10 1/9 – 6 7/12 = 4 1/9 – 7/12 = 4 4/36 – 21/36 = 3 40/36 – 21/36 = 3 19/36
From the thing above, it can be concluded that Mia used 3 19/36 pound for the chocolate cake.
