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andrew-mc [135]
2 years ago
7

Three students, Matthew, Thompson and Amos shared #15000 in the ratio of 5:2:x respectively. If Matthew's share is 7500, calcula

te the value of x.​
Mathematics
1 answer:
jasenka [17]2 years ago
5 0

Answer:

The value of x is 3.

Step-by-step explanation:

Matthew earned 7500 of 15000, which is exactly half the total amount, meaning that the fraction corresponding to his earnings is 1/2.

Rate of 5:2:x, with number 5 corresponding to Matthew, mean that his fraction of the earnings, in function of x is given by:

\frac{5}{5 + 2 + x} = \frac{5}{7 + x}

Both fractions are equal, so:

\frac{5}{7 + x} = \frac{1}{2}

Applying cross multiplication:

7 + x = 10

x = 10 - 7

x = 3

The value of x is 3.

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