Question

In the lioness vicar house group I contribute the amount proportional to the number of students they have. If each group contributed 956 for a school event. What percentage did the students contribute in each group, considering that. 1A has 31 Students 1B has 34 Students 2A has 20 Students 2B has 22 Students 3A has 18 Students 3B has 24 Students How much does each student contribute in their group? What percentage does it correspond to? How much money did the entire school raise in total?

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Darrell

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Let's first find out how much each student contributed in their group.

Letx be the amount each student contributes in their group.

For group 1A with 31 students, the total contribution is31x = 956 . So, x = \frac{956}{31} .

For group 1B with 34 students, the total contribution is34x = 956 . So, x = \frac{956}{34} .

For group 2A with 20 students, the total contribution is20x = 956 . So, x = \frac{956}{20} .

For group 2B with 22 students, the total contribution is22x = 956 . So, x = \frac{956}{22} .

For group 3A with 18 students, the total contribution is18x = 956 . So, x = \frac{956}{18} .

For group 3B with 24 students, the total contribution is24x = 956 . So, x = \frac{956}{24} .

Now, let's find out the percentage each student contributed in their group. Since each student contributed the same amount in their group, we will use the values ofx calculated for each group.

The percentage each student contributed in their group is given by:

\left( \frac{x}{956} \right) \times 100 \%

Now, let's calculate the total amount raised by the entire school.

Total amount raised= 1A + 1B + 2A + 2B + 3A + 3B = 6 \times 956

### Answer

1. Each student contributes:

- Group 1A:\frac{956}{31}=30.84 dollars

- Group 1B:\frac{956}{34}=28.12 dollars

- Group 2A:\frac{956}{20}=47.8 dollars

- Group 2B:\frac{956}{22}=43.45 dollars

- Group 3A:\frac{956}{18}=53.11 dollars

- Group 3B:\frac{956}{24}=39.83 dollars

2. The percentage each student contributed in their group:

- Group 1A:\left(\frac{956}{31 \times956}\right)\times100\%=3.23\%

- Group 1B:\left(\frac{956}{34 \times956}\right)\times100\%=2.94\%

- Group 2A:\left(\frac{956}{20 \times956}\right)\times100\%=5\%

- Group 2B:\left(\frac{956}{22 \times956}\right)\times100\%=4.55\%

- Group 3A:\left(\frac{956}{18 \times956}\right)\times100\%=5.56\%

- Group 3B:\left(\frac{956}{24 \times956}\right)\times100\%=4.17\%

3. Total amount raised by the entire school:6 \times 956 = 5736 dollars

Let

For group 1A with 31 students, the total contribution is

For group 1B with 34 students, the total contribution is

For group 2A with 20 students, the total contribution is

For group 2B with 22 students, the total contribution is

For group 3A with 18 students, the total contribution is

For group 3B with 24 students, the total contribution is

Now, let's find out the percentage each student contributed in their group. Since each student contributed the same amount in their group, we will use the values of

The percentage each student contributed in their group is given by:

Now, let's calculate the total amount raised by the entire school.

Total amount raised

### Answer

1. Each student contributes:

- Group 1A:

- Group 1B:

- Group 2A:

- Group 2B:

- Group 3A:

- Group 3B:

2. The percentage each student contributed in their group:

- Group 1A:

- Group 1B:

- Group 2A:

- Group 2B:

- Group 3A:

- Group 3B:

3. Total amount raised by the entire school:

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