Moshe furnishes $5000 and Jamal furnishes $2500 of the capital. Computed by solving the linear equation x + x/2 = 7500, where x is the capital furnished by Moshe.
What are linear equations?
Linear equations are an equation involving constants and variables, where variables are raised to a power of not greater than 1.
How do we solve the given question?
We are informed that Jamal and Moshe starts a business with a capital of $7500. Also, we are informed that Jamal furnishes half as much capital as Moshe does.
We will try to make a linear equation and solve for it to find the capital furnished by each of them.
Let the capital furnished by Moshe be $x.
Jamal furnishes half as much capital as Moshe does.
∴ Capital furnished by Jamal = 1/2 of Moshe's capital = 1/2 of $x.
∴ Jamal's capital + Moshe's capital = Total capital furnished
We know the total capital is $7500.
∴ Our linear equation is: 1/2 of $x + $x = $7500.
Now we solve this equation in the following ways:
or, (1/2)*x + x = 7500
or, x/2 + x = 7500
or, (x + 2x)/2 = 7500
or, 3x/2 = 7500
or, x = (7500*2)/3 = 15000/3 = 5000.
∴ x = 5000.
∴ Moshe's share = $x = $5000
Jamal's share = 1/2 of $x = 1/2 of $5000 = $2500.
∴ Moshe furnishes $5000 and Jamal furnishes $2500 of the capital. Computed by solving the linear equation x + x/2 = 7500, where x is the capital furnished by Moshe.
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