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

Lynette raised $522. By setting up equations based on the sum of money raised and the given ratio, we calculated the constant multiplier k and used it to determine Lynette's contribution.

Step-by-step explanation:

To solve how much money Lynette raised, let's denote Lynette's amount as L, Eunice's amount as E, and Xueting's amount as X. We are given the following information:

• L + E = $578
• L + X = $802
• E : X = 1 : 5

From the ratio E : X = 1 : 5, we can say that E = k and X = 5k, where k is a constant multiplier.

We can now express E and X in terms of k and substitute into the first two equations provided.

L + k = $578 ... (1)

L + 5k = $802 ... (2)

By subtracting Equation (1) from Equation (2) we get:

4k = $224

Hence, k = $56. Now, we can find Lynette's amount by substituting k back into Equation (1).

L + $56 = $578

L = $578 - $56

L = $522

Therefore, Lynette raised $522.