Let’s solve each problem one by one, step by step.
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Problem 1:
Emma starts with 16 pieces of sea glass and adds 2 per day. She wants to have 60 total.
We can write an equation:
Start + (days × rate) = total
→ 16 + 2d = 60
Subtract 16 from both sides:
2d = 44
Divide by 2:
d = 22
✔ Emma will take
22 days.
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Problem 2:
Three consecutive even numbers add up to 48.
Let the smallest be x. Then the next two are x+2 and x+4.
Equation:
x + (x+2) + (x+4) = 48
Combine like terms:
3x + 6 = 48
Subtract 6:
3x = 42
Divide by 3:
x = 14
✔ The smallest number is
14.
Check: 14 + 16 + 18 = 48 → Correct!
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Problem 3:
Philippe bought some hats on Monday — let’s call that number
h.
Tuesday: he bought 5 more → total now = h + 5
Wednesday: half were destroyed → he has half left → (h + 5)/2 = 17
Multiply both sides by 2:
h + 5 = 34
Subtract 5:
h = 29
✔ He bought
29 hats on Monday.
Check: Mon=29, Tue=+5 → 34 total. Half destroyed → 17 left. Correct!
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Problem 4:
“The sum of three times x and 4 is 25.”
That means:
3x + 4 = 25
Subtract 4:
3x = 21
Divide by 3:
x = 7
✔ x =
7
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Problem 5:
Evan sold half his books, then bought 17 more, and now has 32.
Let’s say he started with
b books.
He sold half → so he had b/2 left.
Then he bought 17 → b/2 + 17 = 32
Subtract 17:
b/2 = 15
Multiply by 2:
b = 30
✔ He began with
30 books.
Check: Start with 30 → sell half → 15 left → buy 17 → 15+17=32. Correct!
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Final Answer:
1. 22 days
2. 14
3. 29 hats
4. 7
5. 30 books
Parent Tip: Review the logic above to help your child master the concept of two step equations word problems worksheets.
