Question

BRAINLIEST GIVEN NEED HELP ASAP Russell, Sarah, and Terry share money in the ratio 2:5:8. If Sarah gets an extra £120, she will have the same as Terry. Work out how much each gets.

Answer 1

Answer:

Russel: £80

Sarah: £200

Terry: £320

Step-by-step explanation:

You can rewrite the ratio of 2:5:8 as 2x, 5x, and 8x

Now, it is stated that if Sarah gets an extra £120 she will have the same as Terry

Terry's money is written as 8x as mentioned previously, and Sarah's money is now 5x+120. We know that these two things are equal so you can write the following equation:

5x+120= 8x

Now subtract 5x from both sides to get:

120=3x

Divide 3 from x and 120 to get:

x=40

Now you can simply plug in 40 for each of the ratios (2x, 5x, and 8x)

Russel: £80

Sarah: £200

Terry: £320