brimartin71122 brimartin71122

04-02-2022
Mathematics

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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

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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