## Arithmetic Word Problems Database

### Arithmetic

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

#### Add/subtract

[1000] 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.

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[1001] 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.

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[1006] What is 18 + 3 - 5 + 9?

**Answer:**

18 + 3 - 5 + 9

= 21 - 5 + 9

= 16 + 9

= 25

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#### Multiplication

[1004] A box of cookies has 18 cookies. A crate of
cookies has 12 boxes. How many cookies are in a crate?

**Answer:** We get the answer by multiplying 18 and 12.

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

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#### Multiply/add

[1008] 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.

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[1009] A number is divided by 6. The quotient is 3 and
the remainder is 2. What is the number?

**Answer:** We get the answer by working backwards.

3x6 + 2

= 18 + 2

= 20

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#### Multiply/subtract

[1002] What is 3x9 - 2x8?

**Answer:** We have to remember the order of operations. We
multiply first, then subtract.

3x9 - 2x8

= 27 - 16

= 11

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[1005] 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.

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[1012] 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.

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#### Division

[1003] 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.

----

[1007] 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.

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[1011] 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.

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#### Divide/subtract

[1013] 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.

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