Mixed Addition and Subtraction Word Problems | Grade1to6.com - Free Printable
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Step-by-step solution for: Mixed Addition and Subtraction Word Problems | Grade1to6.com
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Show Answer Key & Explanations
Step-by-step solution for: Mixed Addition and Subtraction Word Problems | Grade1to6.com
Let's solve each problem step by step:
---
Question: Jacob celebrates his 8th birthday and his parents invite many people. They invited 78 men, 64 women, 29 boys, and 36 girls. How many people were invited for his birthday?
Solution:
To find the total number of people invited, we need to add the number of men, women, boys, and girls:
\[
78 + 64 + 29 + 36
\]
1. Add the first two numbers:
\[
78 + 64 = 142
\]
2. Add the next number:
\[
142 + 29 = 171
\]
3. Add the last number:
\[
171 + 36 = 207
\]
Answer: The total number of people invited is \(\boxed{207}\).
---
Question: Smith visits the supermarket to buy for his office Christmas party. He buys 347 cans of mixed fruit juice and 218 cans of apple juice. How many cans of all juices did he buy?
Solution:
To find the total number of cans of juice, we need to add the number of cans of mixed fruit juice and apple juice:
\[
347 + 218
\]
1. Add the numbers:
\[
347 + 218 = 565
\]
Answer: The total number of cans of juice is \(\boxed{565}\).
---
Question: On Wednesday you ate 6 chocolates, 8 on Thursday, and 12 on Sunday. There were 445 chocolates at home as mom had bought this for Halloween. How many chocolates did you eat totally?
Solution:
To find the total number of chocolates eaten, we need to add the number of chocolates eaten on Wednesday, Thursday, and Sunday:
\[
6 + 8 + 12
\]
1. Add the first two numbers:
\[
6 + 8 = 14
\]
2. Add the next number:
\[
14 + 12 = 26
\]
Answer: The total number of chocolates eaten is \(\boxed{26}\).
---
Question: Your friends just gave you 18 pencils on your birthday, now you have 29. How many pencils did you have before your friends gave you 18 more?
Solution:
Let \( x \) be the number of pencils you had before your friends gave you 18 more. According to the problem:
\[
x + 18 = 29
\]
To find \( x \), subtract 18 from both sides of the equation:
\[
x = 29 - 18
\]
\[
x = 11
\]
Answer: You had \(\boxed{11}\) pencils before your friends gave you more.
---
Question: In a cricket match, Ajmal the captain of the team scored 127 runs and his partner scored 223 runs. How many runs did both of you score combined? The team score was 499. How many runs did the remaining batsmen score then?
Solution:
#### Part 1: Combined runs scored by Ajmal and his partner
To find the total runs scored by Ajmal and his partner, we add their individual scores:
\[
127 + 223
\]
1. Add the numbers:
\[
127 + 223 = 350
\]
So, Ajmal and his partner scored a total of 350 runs.
#### Part 2: Runs scored by the remaining batsmen
The total team score is 499. To find the runs scored by the remaining batsmen, subtract the combined score of Ajmal and his partner from the total team score:
\[
499 - 350
\]
1. Subtract the numbers:
\[
499 - 350 = 149
\]
Answer: The remaining batsmen scored \(\boxed{149}\) runs.
---
1. \(\boxed{207}\)
2. \(\boxed{565}\)
3. \(\boxed{26}\)
4. \(\boxed{11}\)
5. \(\boxed{149}\)
---
Problem 1:
Question: Jacob celebrates his 8th birthday and his parents invite many people. They invited 78 men, 64 women, 29 boys, and 36 girls. How many people were invited for his birthday?
Solution:
To find the total number of people invited, we need to add the number of men, women, boys, and girls:
\[
78 + 64 + 29 + 36
\]
1. Add the first two numbers:
\[
78 + 64 = 142
\]
2. Add the next number:
\[
142 + 29 = 171
\]
3. Add the last number:
\[
171 + 36 = 207
\]
Answer: The total number of people invited is \(\boxed{207}\).
---
Problem 2:
Question: Smith visits the supermarket to buy for his office Christmas party. He buys 347 cans of mixed fruit juice and 218 cans of apple juice. How many cans of all juices did he buy?
Solution:
To find the total number of cans of juice, we need to add the number of cans of mixed fruit juice and apple juice:
\[
347 + 218
\]
1. Add the numbers:
\[
347 + 218 = 565
\]
Answer: The total number of cans of juice is \(\boxed{565}\).
---
Problem 3:
Question: On Wednesday you ate 6 chocolates, 8 on Thursday, and 12 on Sunday. There were 445 chocolates at home as mom had bought this for Halloween. How many chocolates did you eat totally?
Solution:
To find the total number of chocolates eaten, we need to add the number of chocolates eaten on Wednesday, Thursday, and Sunday:
\[
6 + 8 + 12
\]
1. Add the first two numbers:
\[
6 + 8 = 14
\]
2. Add the next number:
\[
14 + 12 = 26
\]
Answer: The total number of chocolates eaten is \(\boxed{26}\).
---
Problem 4:
Question: Your friends just gave you 18 pencils on your birthday, now you have 29. How many pencils did you have before your friends gave you 18 more?
Solution:
Let \( x \) be the number of pencils you had before your friends gave you 18 more. According to the problem:
\[
x + 18 = 29
\]
To find \( x \), subtract 18 from both sides of the equation:
\[
x = 29 - 18
\]
\[
x = 11
\]
Answer: You had \(\boxed{11}\) pencils before your friends gave you more.
---
Problem 5:
Question: In a cricket match, Ajmal the captain of the team scored 127 runs and his partner scored 223 runs. How many runs did both of you score combined? The team score was 499. How many runs did the remaining batsmen score then?
Solution:
#### Part 1: Combined runs scored by Ajmal and his partner
To find the total runs scored by Ajmal and his partner, we add their individual scores:
\[
127 + 223
\]
1. Add the numbers:
\[
127 + 223 = 350
\]
So, Ajmal and his partner scored a total of 350 runs.
#### Part 2: Runs scored by the remaining batsmen
The total team score is 499. To find the runs scored by the remaining batsmen, subtract the combined score of Ajmal and his partner from the total team score:
\[
499 - 350
\]
1. Subtract the numbers:
\[
499 - 350 = 149
\]
Answer: The remaining batsmen scored \(\boxed{149}\) runs.
---
Final Answers:
1. \(\boxed{207}\)
2. \(\boxed{565}\)
3. \(\boxed{26}\)
4. \(\boxed{11}\)
5. \(\boxed{149}\)
Parent Tip: Review the logic above to help your child master the concept of addition subtraction word problems worksheet.