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A youth group receives two grants. One is for £5,125 and the other is for £2,950 Approximately (1)/(2) of the grants will be spent on a group trip abroad and (1)/(4) of the grants will be spent on new equipment for the group. By rounding to the nearest thousand , estimate the amount of money the group will have left f

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A youth group receives two grants. One is for £5,125 and the other is for £2,950
Approximately (1)/(2) of the grants will be spent on a group trip abroad and (1)/(4) of the grants will be
spent on new equipment for the group.
By rounding to the nearest thousand , estimate the amount of money the group will have left
f

A youth group receives two grants. One is for £5,125 and the other is for £2,950 Approximately (1)/(2) of the grants will be spent on a group trip abroad and (1)/(4) of the grants will be spent on new equipment for the group. By rounding to the nearest thousand , estimate the amount of money the group will have left f

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KristinaElite · Tutor for 8 years

Answer

Now to perform and wrap up our calculations;<br /><br />## In Step 1: Total grant \(= £5,125 + £2,950 = £8,075\).<br /><br />## In Step 2, rounding it to nearest thousand, the total grant \(\approx£8,000\).<br /><br />## In Step 3, roughly, the group trip will cost \(= £8,000 \times \frac{1}{2} = £4,000\).<br /><br />## In Step 4, approximately, new equipment will cost \(= £8,000 \times \frac{1}{4} = £2,000\).<br /><br />## In our final Step 5, The aggregate left is calculated as \(= Total grant - Trip expenses - Equipment cost = £8,000 - £4,000 - £2,000 = £2,000\). <br /><br />The youth group will have an estimated amount of about £2,000 remaining.

Explain

## Step 1:<br />We will first combine the total of the two grants.<br /><br />### The total grant is \(£5,125 + £2,950\).<br /><br />## Step 2: <br />In this step, we will round the total grant amount to the nearest thousand for creating simpler and manageable numbers. <br /><br />### Rounded total grant \(\approx £8,000\)<br /><br />## Step 3:<br />Now, we calculate about how much will be spent on the group trip. Half (\(\frac{1}{2}\)) of the total grant will be spent for this. Thus,<br /><br />### Amount for group trip \(\approx £8,000 \times \frac{1}{2}\).<br /><br />## Step 4:<br />Next, fourth part (\(\frac{1}{4}\)) from the total grant will be expended on new infrastructure thereby;<br /><br />### Amount for new equipment \(\approx £8,000 \times \frac{1}{4}\).<br /><br />## Step 5:<br />Finally, subtract the amounts of the trip and gear from the total grant to figure out how much funds remain. <br /><br />### Remaining funds = Total grant - cost of trip - price of new equipment
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