Question

It was flag day yesterday. Lynette, Eunice and Xueting went to three separate locations to raise funds. At the end of the day, the sum of money Lynette and Eunice raised was $578 and the sum of money Lynette and Xueting raised was $802. The ratio of the funds Eunice raised to the funds Xueting raised was 1 : 5. How much money did Lynette raise?

Answer 1

So, Lynette raised **$522**. Please check the explanation below that helps.

Step-by-step explanation:

Let's denote the amount of money Lynette, Eunice, and Xueting raised as L, E, and X respectively.

From the problem, we know that:

1. L + E = $578

2. L + X = $802

3. E/X = 1/5

We can solve this system of equations step by step.

First, subtract the first equation from the second to find the difference between X and E:

X - E = $802 - $578 = $224

Since E/X = 1/5, we can express E as X/5. Substitute this into the equation we just found:

X - X/5 = $224

Multiply through by 5 to clear the fraction:

5X - X = $1120

Simplify to find X:

4X = $1120

X = $1120 / 4 = $280

Substitute X = $280 into the second equation to find L:

L = $802 - $280 = $522

So, Lynette raised **$522**.

Answer 2

Lynette raised $133.67.

Step-by-step explanation:

Let's represent the amount of money Lynette, Eunice, and Xueting raised as L, E, and X respectively.

From the given information, we have two equations:

L + E = 578

L + X = 802

We also know that E : X = 1 : 5.

To solve this system of equations, we can use substitution:

Substitute the value of E from the first equation into the second equation:

L + X = 802

L + (5E) = 802

L + 5L = 802

6L = 802

L = 802/6

L = 133.67 (rounded to 2 decimal places)

Therefore, Lynette raised $133.67.