## Arithmetic Word Problems Database

### Add/subtract | Multiplication | Multiply/add | Multiply/subtract | Division | Divide/subtract

 Jane has 2 candies. Jack has 5 candies. If they each eat 1 candy, how many candies do they have left in total?
Answer: First we find out how many candies they have together.
5 + 2 = 7. Together, Jane and Jack have 7 candies. If they each eat one candy, then they ate 2 candies in total. So, we find out how many candies they have left by subtracting 2 from 7.
7 - 2 = 5. They have 5 candies left in total.
----
 Moe has to go 12 miles to his grandma's house. The first bus goes 3 miles. The second bus goes 4 miles. How many miles does Moe have left to go?
Answer: First we find out how far Moe travels on the two buses.
3 + 4 = 7. The distance Moe travels on the two buses together is 7 miles. We find out how far he has left to go by subtracting 7 from 12.
12 - 7 = 5. Moe has 5 miles left to go.
----
 What is 18 + 3 - 5 + 9?
18 + 3 - 5 + 9
= 21 - 5 + 9
= 16 + 9
= 25

#### Multiplication

18 x 12 = 216. There are 216 cookies in a crate.

 Joe went back-to-school shopping. He bought 3 binders that cost 2 zorons each, 4 packs of pencil crayons at 3 zorons each and 5 packs of lined paper at 7 zorons each. How much did he spend?
Answer:Whether you realize it or not, this is an order-of-operations problem. You multiply first, then add.
3x2 + 4x3 + 5x7
= 6 + 12 + 35
= 18 + 35
= 53
Joe spent 53 zorons.
----
 A number is divided by 6. The quotient is 3 and the remainder is 2. What is the number?
3x6 + 2
= 18 + 2
= 20

#### Multiply/subtract

 What is 3x9 - 2x8?
Answer: We have to remember the order of operations. We multiply first, then subtract.
3x9 - 2x8
= 27 - 16
= 11
----
 Bob bought a pop for 130 ducats and a bag of chips for 89 ducats. He gave the clerk 500 ducats. How many ducats should he get back?
Answer: First we find the total of Bob's purchase.
130 + 89 = 219. To find out how many ducats he should get back, we subtract 219 from 500.
500 - 219 = 281. Bob should get back 281 ducats.
----
 To convert radons to zurugons, you multiply each radon by 13 then subtract 51 from the product. How many zurugons are 62 radons?
Answer: This is a really hard problem. First we need the product.
62 x 13 = 806. Then the question says to subtract 51 from the product.
806 - 51 = 755. So, 62 radons is equivalent to 755 zurugons.

#### Division

 A school bus holds 40 students. 90 students are going on a field trip. How many buses do they need?
Answer: Two buses hold 80 students and 3 buses hold 120. So, they need 3 buses in order to carry 90 students.
----
 What is the remainder when you divide 562 by 9?
Answer: 562 divided by 9 has a quotient of 62 and a remainder of 4.
----
 What is the quotient when you divide 437 by 11 using long division?
Answer: The quotient is 39. In case you were wondering, the remainder is 8.

#### Divide/subtract

 A number is multiplied by 8 and this answer is added to 99 and the final answer is 171. What is the original number?
Answer: We find the original number by working backwards. First we subtract 99 from 171.
171 - 99 = 72. Then we divide 72 by 8.
72 8 = 9. The original number is 9. 