Question

use the number pad and h to enter your answers in the boxes.

$(15h + 10)0.2 + 6 = 10(0.5h - 4)$

$\square + 2 + 6 = 5h - 40$

$3h + \square = 5h - 40$

$3h + \square = 5h$

$48 = \square$

$\square = h$

Explanation:

Step1: Distribute 0.2 to (15h + 10)

Multiply 0.2 with 15h and 10: \(0.2\times15h = 3h\), \(0.2\times10 = 2\). So left side becomes \(3h + 2 + 6\), right side is \(10\times0.5h - 10\times4 = 5h - 40\). So first box: \(3h\)

Step2: Simplify left side \(3h + 2 + 6\)

\(2 + 6 = 8\), so equation: \(3h + 8 = 5h - 40\). Second box: \(8\)

Step3: Add 40 to both sides

\(3h + 8 + 40 = 5h - 40 + 40\) → \(3h + 48 = 5h\). Third box: \(48\)

Step4: Subtract 3h from both sides

\(3h + 48 - 3h = 5h - 3h\) → \(48 = 2h\). Fourth box: \(2h\)

Step5: Divide both sides by 2

\(\frac{48}{2} = \frac{2h}{2}\) → \(24 = h\). Fifth box: \(24\)

Answer:

First box: \(3h\)
Second box: \(8\)
Third box: \(48\)
Fourth box: \(2h\)
Fifth box: \(24\)