Equation Word Problems Worksheets - Free Printable

Let's solve each of the five word problems step by step. These are all two-step equations involving integers, so we'll set up an equation for each problem and solve it.

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Problem 1:

Dalia bought a few soft marbles and divided it equally among four of her friends and her brother, Jake. While playing, Jake lost 2 marbles and has only 7 marbles left. How many marbles did Dalia buy in all?

#### Step-by-step:
- Jake had some marbles, then lost 2, and now has 7.
- So before losing, Jake had:
$ 7 + 2 = 9 $ marbles
- The marbles were divided equally among 4 friends + 1 brother (Jake) → total of 5 people
- Each person got 9 marbles
- Total marbles Dalia bought:
$ 5 \times 9 = 45 $

✔ Answer: 45 marbles

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Problem 2:

A bus departed from New York at 11 pm with 44 passengers. An hour later, a few passengers got off at New Jersey. The number of passengers who boarded the bus at New Jersey was twice the number of passengers who got off. If the bus has 50 passengers now, how many passengers got off at New Jersey?

Let’s define:
- Let $ x $ = number of passengers who got off at New Jersey
- Then, number who boarded = $ 2x $
- Original passengers: 44
- After getting off: $ 44 - x $
- After boarding: $ 44 - x + 2x = 44 + x $
- Final count: 50

So:
$$
44 + x = 50
$$
$$
x = 50 - 44 = 6
$$

✔ Answer: 6 passengers got off

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Problem 3:

Clara lends half her collection of formal attire to her sister. Satan. Clara then buys four more attires. If she has 12 attires now, how many attires did Clara have initially?

Let:
- $ x $ = initial number of attires Clara had
- She lent half → $ \frac{1}{2}x $ left
- Then she buys 4 more → $ \frac{1}{2}x + 4 $
- Now she has 12:

$$
\frac{1}{2}x + 4 = 12
$$
Subtract 4:
$$
\frac{1}{2}x = 8
$$
Multiply both sides by 2:
$$
x = 16
$$

✔ Answer: 16 attires initially

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Problem 4:

The Rock Zoo mars 37 species of big cats. Recently, a few species of big cats were sponsored to other zoos around the country. The zoo now nurses only 25 species. How many species of big cats were sponsored to other zoos?

This is straightforward subtraction:
- Originally: 37 species
- Now: 25 species
- Difference: $ 37 - 25 = 12 $

✔ Answer: 12 species were sponsored

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Problem 5:

Megan and four of her friends plan to go for a long drive. They buy 12 bottles of Snapple and a few bottles of orange juice from a supermarket. The total number of bottles they have four times that of orange juice bottles. How many bottles of orange juice did Megan buy?

Let:
- $ x $ = number of orange juice bottles
- Snapple bottles = 12
- Total bottles = $ 12 + x $
- Given: total bottles = four times the number of orange juice bottles

So:
$$
12 + x = 4x
$$
Subtract $ x $ from both sides:
$$
12 = 3x
$$
$$
x = 4
$$

✔ Answer: 4 bottles of orange juice

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✔ Final Answers:

1. 45 marbles
2. 6 passengers got off
3. 16 attires initially
4. 12 species sponsored
5. 4 bottles of orange juice

Let me know if you'd like these explained in simpler terms or with visual models!