mrs walker and mrs thomson share 4.27kg of cherries in the ratio 2 : 5. how much cherries must mrs thomson give to mrs walker so that both of them will have the same amount of cherries?

2x+5x = 4.27

x = .61
So, they have

1.22 and 3.05 lbs.

Now you can decide how much has to be given so they have the same amount.

To find out how much cherries Mrs. Thomson must give to Mrs. Walker so that both of them have the same amount, we need to apply the concept of ratios.

First, we need to determine the total number of parts in the ratio 2:5. This is done by adding the two numbers together:

2 + 5 = 7

Next, we divide the total weight of cherries (4.27 kg) by the number of parts:

4.27 kg ÷ 7 = 0.61 kg per part

Now we can calculate how much cherries Mrs. Thomson should give to Mrs. Walker. Since Mrs. Thomson has 5 parts of cherries and Mrs. Walker has 2 parts, the difference is 3 parts:

5 parts - 2 parts = 3 parts

To find the weight of 3 parts, we multiply 3 by the value we obtained earlier (0.61 kg per part):

3 parts × 0.61 kg per part = 1.83 kg

Thus, Mrs. Thomson must give Mrs. Walker 1.83 kg of cherries so that both of them will have the same amount.