Let’s solve each problem one by one, step by step.
---
Problem 1: Emma’s sea glass
Emma starts with 16 pieces.
Each day she adds 2 more.
We want to know how many days until she has 60 pieces.
Let’s say “d” = number of days.
So:
16 + 2×d = 60
Subtract 16 from both sides:
2×d = 44
Divide by 2:
d = 22
✔ Check: After 22 days, she adds 2×22 = 44 pieces. 16 + 44 = 60. Correct!
---
Problem 2: Three consecutive even numbers sum to 48
Consecutive even numbers go up by 2 each time (like 14, 16, 18).
Let the smallest be “x”.
Then the next two are “x+2” and “x+4”.
Sum: x + (x+2) + (x+4) = 48
→ 3x + 6 = 48
Subtract 6: 3x = 42
Divide by 3: x = 14
✔ Check: 14 + 16 + 18 = 48. Correct! Smallest is 14.
---
Problem 3: Philippe’s hats
He bought some hats on Monday → let’s call that “h”.
Tuesday: he bought 5 more → total now: h + 5
Wednesday: half were destroyed, left with 17.
That means before destruction, he had 17 × 2 = 34 hats.
So: h + 5 = 34
→ h = 34 - 5 = 29
✔ Check: Monday: 29, Tuesday: +5 → 34. Half destroyed → 17 left. Correct!
---
Problem 4: Sum of three times x and 4 is 25
Equation: 3x + 4 = 25
Subtract 4: 3x = 21
Divide by 3: x = 7
✔ Check: 3×7 = 21, plus 4 = 25. Correct!
---
Problem 5: Evan’s story books
He sold half his books → so he had half left.
Then he bought 17 more → now has 32.
Let “b” = original number of books.
After selling half: b/2
After buying 17: b/2 + 17 = 32
Subtract 17: b/2 = 15
Multiply by 2: b = 30
✔ Check: Start with 30. Sell half → 15 left. Buy 17 → 15 + 17 = 32. Correct!
---
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 equation word problems worksheets.
