4 years ago

Allison and rhea got different quotients when they divided 4.80 by 0.12. Whose work is correct? Explain why.

Mathematics

1 answer:

Ratling [72]4 years ago

6 0

What quotients did they get because the answer is 40

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value of x = 20 and value of y=16

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Step-by-step explanation:

We need to solve system of equations:

$x-y=4\\\frac{1}{2}x+ \frac{1}{2}y=18$

Let:

$x-y=4\,\,\,eq(1)\\\frac{1}{2}x+ \frac{1}{2}y=18\,\,\,eq(2)$

Simplifying equation 2:

$\frac{1}{2}x+ \frac{1}{2}y=18$

Taking LCM on left side:

$\frac{x+y}{2}=18$

$x+y=18*2$

$x+y=36\,\,\,eq(3)$

Adding eq(1) and eq(3)

$x-y=4\\x+y=36\\-----\\2x=40\\x=40/2\\x=20$

Putting value of x in eq(1) and finding y:

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So, value of x = 20 and value of y=16

Solution set=(20,16)

Keywords: System of equations

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