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Second Chance!Review your working and see if you can correct your mistakes Bookwork code: 3D Evelyn and George bought some lengths of fabric. Evelyn bought qm of fabric and George bought 6 times as much fabric as Evelyn. George then decided to return 35m of fabric . He still had more fabric than Evelyn. Write this as an inequality and solve to work out the values that q could take.

Question

Second Chance!Review your working
and see if you can correct your mistakes
Bookwork code: 3D
Evelyn and George bought some
lengths of fabric.
Evelyn bought qm of fabric and
George bought 6 times as much
fabric as Evelyn.
George then decided to return 35m
of fabric . He still had more fabric
than Evelyn.
Write this as an inequality and solve
to work out the values that q could
take.

Second Chance!Review your working and see if you can correct your mistakes Bookwork code: 3D Evelyn and George bought some lengths of fabric. Evelyn bought qm of fabric and George bought 6 times as much fabric as Evelyn. George then decided to return 35m of fabric . He still had more fabric than Evelyn. Write this as an inequality and solve to work out the values that q could take.

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Answer

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RolandExpert · Tutor for 3 years

Answer

\(q > 7\)<br /><br />This means that Evelyn must have bought more than 7 meters of fabric for George to still have more fabric than her after returning 35 meters.

Explain

## Step 1: <br />First, we need to translate the problem into a mathematical inequality. We know that Evelyn bought \(q\) meters of fabric, and George bought 6 times as much. After returning 35 meters, George still had more fabric than Evelyn. This can be written as: <br /><br />### \(6q - 35 > q\)<br /><br />## Step 2: <br />Next, we need to solve this inequality for \(q\). To do this, we first isolate \(q\) by subtracting \(q\) from both sides of the inequality:<br /><br />### \(6q - q > 35\)<br /><br />This simplifies to:<br /><br />### \(5q > 35\)<br /><br />## Step 3: <br />Finally, we divide both sides of the inequality by 5 to solve for \(q\):<br /><br />### \(q > \frac{35}{5}\)<br /><br />This simplifies to:<br /><br />### \(q > 7\)
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