Question

Ok hi! This is the question from my math page.. “Martin used some apples to make muffins. Omar used some apples to make applesauce. Omar used 5 fewer than half as many apple as Martin used.”

Write an expression to show the number of apples that Martin and Omar used in all. What does your variable represent?

Answer 1

An expression which shows the number of apples that Martin and Omar used in all is
`(3x)/(2)-5`.

Explanation:

Given;

Martin used some apples to make muffins.

Let the number of apples used by martin be 'x'.

Also Given:

Omar used some apples to make applesauce. Omar used 5 fewer than half as many apple as Martin used.

Hence we can say:

Apple used by Omar is equal to half of apples used my martin minus 5.

framing in equation form we get;

number of apples used by Omar =
`(x)/(2)-5`

W need to find an expression to show the number of apples that Martin and Omar used in all.

So Total Number of apples used by both is sum of the number of apples used by martin and number of apples used by Omar.

framing in equation form we get;

Total Number of apples used by both =
`x+((x)/(2) -5) = x+(x)/(2) -5`

Now taking LCM to make the denominator common we get;

Total Number of apples used by both =
`(x*2)/(2)+(x*1)/(2*1) -5= (2x)/(2)+(x)/(2)-5=\frac{2x+x}2}-5 = (3x)/(2)-5`

Hence An expression which shows the number of apples that Martin and Omar used in all is
`(3x)/(2)-5`.