Question

2 a full strip plus another half of a strip of staples contains 315 staples.

number of strips	$\frac{1}{2}$	1	$1\frac{1}{2}$	2	$2\frac{1}{2}$

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Explanation:

Step1: Find staples per full strip

Let \( x \) be staples in 1 strip. Then \( x+\frac{1}{2}x = 315 \). Combine terms: \( \frac{3}{2}x = 315 \). Solve: \( x = 315\times\frac{2}{3}=210 \). So 1 strip has 210 staples.

Step2: Calculate for \( \frac{1}{2} \) strip

\( \frac{1}{2} \times 210 = 105 \).

Step3: Calculate for 1 strip

We already found 1 strip is 210.

Step4: Calculate for \( 1\frac{1}{2} \) strips

\( 1\frac{1}{2}=\frac{3}{2} \), so \( \frac{3}{2}\times210 = 315 \).

Step5: Calculate for 2 strips

\( 2\times210 = 420 \).

Step6: Calculate for \( 2\frac{1}{2} \) strips

\( 2\frac{1}{2}=\frac{5}{2} \), so \( \frac{5}{2}\times210 = 525 \).

Answer:

Number of Strips	\( \frac{1}{2} \)	1	\( 1\frac{1}{2} \)	2	\( 2\frac{1}{2} \)