Eye Level Math Worksheets - Free Printable

Let's solve each problem step by step.

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Problem 1:

Given:
$$
(x - 10) \times 3.625 = 58
$$

#### Step 1: Convert 3.625 into a fraction.
We are told to convert $3.625$ into a fraction.

- $3.625 = 3 + 0.625$
- $0.625 = \frac{625}{1000} = \frac{5}{8}$ (since $625 \div 125 = 5$, $1000 \div 125 = 8$)
- So, $3.625 = 3 + \frac{5}{8} = \frac{24}{8} + \frac{5}{8} = \frac{29}{8}$

So,
$$
(x - 10) \times \frac{29}{8} = 58
$$

Now fill in the blanks:

(x - 10) × [ ] = 58
→ Fill in $\boxed{\frac{29}{8}}$

Then:
$$
(x - 10) \times \frac{29}{8} = 58
\Rightarrow (x - 10) = 58 \div \frac{29}{8}
= 58 \times \frac{8}{29}
$$

Calculate:
$$
58 \div 29 = 2, \quad 2 \times 8 = 16
\Rightarrow x - 10 = 16
$$

So:
- $x - 10 = \boxed{16}$
- Then: $(x - 10) + \boxed{10} = \boxed{16} + 10$
- So: $x = \boxed{26}$

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✔ Final Answer for Problem 1:

1. $(x - 10) \times \boxed{\frac{29}{8}} = 58$
2. $(x - 10) \times \frac{29}{8} = 58 \div \boxed{\frac{29}{8}}$
3. $x - 10 = \boxed{16}$
4. $(x - 10) + \boxed{10} = \boxed{16} + 10$
5. $x = \boxed{26}$

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Problem 2:

Given:
$$
(x + 15) \div 0.625 = 48
$$

#### Step 1: Convert 0.625 into a fraction.
We are told to convert $0.625$ into a fraction.

- $0.625 = \frac{625}{1000} = \frac{5}{8}$

So:
$$
(x + 15) \div \frac{5}{8} = 48
$$

This is equivalent to:
$$
(x + 15) \times \frac{8}{5} = 48
$$

But let's follow the steps as shown:

(x + 15) ÷ [ ] = 48
→ Fill in $\boxed{\frac{5}{8}}$

Then:
$$
(x + 15) \div \frac{5}{8} = 48
\Rightarrow (x + 15) \times \frac{8}{5} = 48
\Rightarrow (x + 15) = 48 \times \frac{5}{8}
$$

Calculate:
$$
48 \div 8 = 6, \quad 6 \times 5 = 30
\Rightarrow x + 15 = 30
$$

So:
- $x + 15 = \boxed{30}$
- Then: $(x + 15) - \boxed{15} = \boxed{30} - 15$
- So: $x = \boxed{15}$

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✔ Final Answer for Problem 2:

1. $(x + 15) \div \boxed{\frac{5}{8}} = 48$
2. $(x + 15) \div \frac{5}{8} = 48 \times \boxed{\frac{5}{8}}$
*(Note: This step may be written as multiplying both sides by $\frac{5}{8}$)*
3. $x + 15 = \boxed{30}$
4. $(x + 15) - \boxed{15} = \boxed{30} - 15$
5. $x = \boxed{15}$

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✔ Final Answers Summary:

#### Problem 1:
- $ (x - 10) \times \boxed{\frac{29}{8}} = 58 $
- $ (x - 10) \times \frac{29}{8} = 58 \div \boxed{\frac{29}{8}} $
- $ x - 10 = \boxed{16} $
- $ (x - 10) + \boxed{10} = \boxed{16} + 10 $
- $ x = \boxed{26} $

#### Problem 2:
- $ (x + 15) \div \boxed{\frac{5}{8}} = 48 $
- $ (x + 15) \div \frac{5}{8} = 48 \times \boxed{\frac{5}{8}} $
- $ x + 15 = \boxed{30} $
- $ (x + 15) - \boxed{15} = \boxed{30} - 15 $
- $ x = \boxed{15} $

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