Alice, Bernice, and Carol have £600 altogether. The ratio of Alice’s money to Betty’s money is 3:7. Carol has £60 more than Alice. What is the amount of money each girl got?

Alice - £124.62

Bernice - £290.77

Carol - £184.62

Step-by-step explanation:

Let the amount of money Alice has be a. This way, the sentence "The ratio of Alice’s money to Bernice’s money is 3:7." can be translated into a proportion:

Alice's money / Bernice's money = 3 / 7

We can substitute Alice's money with a, and cross multiply and solve for Bernice's money:

a / Bernice's money = 3 / 7

7a = 3(Bernice's money)

Bernice's money = 7/3 a

Now, we can represent Carol's money in terms of Alice's money, she has 60 more, or a + 60. We can create can equation to represent the total:

Alice's money + Bernice's money + Carol's money = total

We can plug in what we have and solve for a:

a + 7/3 a + a + 60 = 600

13/3 a = 540

a = 124.62

This means Alice has £124.62

Bernice has 7/3 a amount of money, so we can substitute the value of a to get Bernice has 7/3 (124.62), or £290.77

We can do the same for Carol who has 60 more, 124.62 + 60 is £184.62

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step-by-step explanation: