Question

Students have collected 823 cents, 966 cents, and 741 cents over three weeks for the coin fundraiser. Suppose the mean for four weeks was 855 cents. How many cents did they collect in the fourth week?

Please help

Answer 1

`\Huge \boxed{\boxed{\text{890 Cents}}}`

Explanation:

Step 1: Calculate the total cents for four weeks

To find the total cents collected in four weeks, we need to multiply the mean (average) by the number of weeks. In this case, the mean is 855 cents, and there are four weeks.

`\large \text{Total Cents = Mean $*$ Number Of Weeks}\\\large \text{Total Cents = 855 $*$ 4}\\\large \text{Total Cents = 3420}`

So, the students collected a total of 3420 cents in four weeks.

Step 2: Find the cents collected in the fourth week

Now, we need to subtract the cents collected in the first three weeks from the total cents collected in four weeks to find the cents collected in the fourth week.

`\large \text{Cents In Fourth Week = Total Cents - (Week 1 + Week 2 + Week 3)}\\\large \text{Cents In Fourth Week = 3420 - (823 + 966 + 741)}\\\large \text{Cents In Fourth Week = 3420 - 2530}\\\large \text{Cents In Fourth Week = 890}`

So, the students collected 890 cents in the fourth week.

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