brimartin71122 brimartin71122
  • 04-02-2022
  • Mathematics
contestada

The ratio of marbles to sticks is 5:8. The ratio of sticks to stones is
5:7. What is the reduced ratio of marbles to stones?

Respuesta :

mhanifa
mhanifa mhanifa
  • 04-02-2022

Answer:

  • 25 : 56

Step-by-step explanation:

Let the marbles = x, sticks = y, stones = z.

Given:

  • x / y = 5/ 8

and

  • y / z = 5/ 7

Solve for x and z as per above ratios:

  • x = 5y / 8
  • z = 7y / 5

Find the ratio:

  • x / z = 5y / 8 ÷ 7y / 5
  • x/ z = 5y / 8 × 5 / 7y
  • x / z = 25 / 56
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