Let's solve each of the three word problems step by step and write the correct algebraic expressions.
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Problem 1:
A piece of ribbon is y cm long. Ashley cut it into 4 equal pieces to do her 4 sisters' hair. Write the expression for the amount of ribbon used for each sister.
Step-by-step reasoning:
- The total length of the ribbon is
y centimeters.
- It is divided equally among
4 sisters.
- To find the length of ribbon per sister, divide the total length by 4.
Expression:
$$
\frac{y}{4}
$$
✔ This represents the amount of ribbon used for each sister.
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Problem 2:
Margaret has 16 yards of fabric, and she is making dresses for x dolls. Write the expression for the length of fabric used for each doll.
Step-by-step reasoning:
- Total fabric = 16 yards.
- Number of dolls =
x.
- Assuming each dress uses an equal amount of fabric, we divide the total fabric by the number of dolls.
Expression:
$$
\frac{16}{x}
$$
✔ This gives the amount of fabric used per doll.
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Problem 3:
Olivia had 14 needles in her sewing kit, but she lost r needles. Write the expression for the number of needles in her sewing kit now.
Step-by-step reasoning:
- She originally had
14 needles.
- She lost
r needles.
- So, subtract the lost needles from the original amount.
Expression:
$$
14 - r
$$
✔ This represents the current number of needles in her kit.
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✔ Final Answers:
1. $\frac{y}{4}$
2. $\frac{16}{x}$
3. $14 - r$
These are the algebraic expressions that represent each situation.
Parent Tip: Review the logic above to help your child master the concept of algebraic equations word problems worksheet.
