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2 pens cost £2.46 5 folders cost £5.70 Tom buys 20 pens and 20 folders. How much change does he get from a £50 note?

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2 pens cost £2.46
5 folders cost £5.70
Tom buys 20 pens and 20 folders.
How much change does he get from a £50 note?

2 pens cost £2.46 5 folders cost £5.70 Tom buys 20 pens and 20 folders. How much change does he get from a £50 note?

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TimothyVeteran · Tutor for 12 years

Answer

Now, let’s plug the numbers into the formulas. <br /><br />Step 1: <br />Calculate the cost of one pen,<br />### \(Unit \ price \ of \ pen= \frac {{£2.46}}{{2}} £1.23\)<br /><br />Step 2: <br />Calculate the cost of one folder,<br />### \(Unit \ price \ of \ folder= \frac {{£5.70}}{{5}} = £1.14\)<br /><br />Step 3: <br />Calculate the total cost,<br />### \(Total \ Amount = (20 \times £1.23) + (20 \times £1.14) = £23.6 + £22.8 = £46.40 \)<br /><br />Step 4: <br />Calculate amount of change,<br />### \(Change \ from \ £ 50 \ \ note = £ 50 - £46.40 = £ 3.60 \)<br /><br />>So, Tom will get £ 3.60 in change.

Explain

## Step 1: <br />Calculate the cost of one pen by dividing the total cost of pens by the number of pens. The formula for this calculation is <br />### \[Unit \ price \ of \ pen= \frac {{Total \ cost \ of \ pens}}{{ Number \ of \ pens}}\]<br /><br />## Step 2: <br />Calculate the cost of one folder by dividing the total cost of folders by the number of folders. The formula for this calculation is <br />### \[Unit \ price \ of \ folder= \frac {{Total \ cost \ of \ folders}}{{ Number \ of \ folders}}\]<br /><br />## Step 3: <br />Find out the amount Tom needs to pay for all the pens and folders he bought. <br />He bought 20 pens and 20 folders. The formula to find the Total amount is <br />### \[Total \ Amount = ( Number \ of \ pens \times Unit \ price \ of \ pen ) + ( Number \ of \ folders \times Unit \ price \ of \ folder)\]<br /><br />## Step 4: <br />Finally, find the change Tom will get by subtracting the total cost from the 50 note he gives. The Formula to find the change is <br />### \[ Change \ from \ £ 50 \ \ note = £ 50 \ - Total \ cost \]
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