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10 Jenny has 12 marbles. (1)/(4) of these 12 marbles are large. The rest of these 12 marbles are small. Each large marble has a weight of 70 grams. Each small marble has a weight of 50 grams. Work out the total weight of the 12 marbles.

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10 Jenny has 12 marbles.
(1)/(4)
of these 12 marbles are large.
The rest of these 12 marbles are small.
Each large marble has a weight of 70 grams.
Each small marble has a weight of 50 grams.
Work out the total weight of the 12 marbles.

10 Jenny has 12 marbles. (1)/(4) of these 12 marbles are large. The rest of these 12 marbles are small. Each large marble has a weight of 70 grams. Each small marble has a weight of 50 grams. Work out the total weight of the 12 marbles.

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TamsynProfessional · Tutor for 6 years

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# Explanation:<br /><br />## Step1:<br />First, we need to find out how many large marbles Jenny has. Since \( \frac{1}{4} \) of the 12 marbles are large, we multiply 12 by \( \frac{1}{4} \).<br /><br />### \( \frac{1}{4} \times 12 = 3 \)<br /><br />## Step2:<br />Next, we find out how many small marbles Jenny has. Since the rest of the 12 marbles are small, we subtract the number of large marbles from 12.<br /><br />### \( 12 - 3 = 9 \)<br /><br />## Step3:<br />Now, we calculate the total weight of the large marbles. Since each large marble weighs 70 grams, we multiply the number of large marbles by 70.<br /><br />### \( 3 \times 70 = 210 \) grams<br /><br />## Step4:<br />Then, we calculate the total weight of the small marbles. Since each small marble weighs 50 grams, we multiply the number of small marbles by 50.<br /><br />### \( 9 \times 50 = 450 \) grams<br /><br />## Step5:<br />Finally, we add the total weight of the large marbles to the total weight of the small marbles to get the total weight of the 12 marbles.<br /><br />### \( 210 + 450 = 660 \) grams<br /><br /># Answer: The total weight of the 12 marbles is 660 grams.
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