Question

Jenny starts a game with twice as many marbles as Keiko. Jenny gives keiko 5 marbles, but she still has 10 more than keiko. How many marbles did Jenny have to start with

Answer 1

Jenny started with 40 marbles, which was deduced by setting up a system of equations based on the information given and solving for the number of marbles each person had.

Step-by-step explanation:

The question involves solving a simple linear equation to find out how many marbles Jenny started within a game compared to Keiko.

Let's denote the number of marbles Jenny starts with as J and the number of marbles Keiko starts with as K. The question tells us that initially, Jenny has twice as many marbles as Keiko, so we can write this as:

J = 2K

Jenny then gives Keiko 5 marbles. After giving these marbles, Jenny still has 10 more marbles than Keiko, which gives us another equation:

J - 5 = K + 5 + 10

Combining the two equations, we have:

1. 2K - 5 = K + 15
2. K = 20
3. J = 2K = 2(20) = 40

Therefore, Jenny started with 40 marbles.

Answer 2

Jenny has 40 marbles and Keiko has 20. When Jenny gives Keiko 5 of her marbles, now Jenny has 35 marbles and Keiko has 25. Jenny had twice as many marbles at first with 40 and after giving 5 to Keiko, Jenny has 10 more then Keiko. So answer is 40!