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Question

The investments made by family and friends in a family business is $(113x + 52) and $(73x + 81) respectively.

Calculate the total funds invested (in $) in the business ?

A
$(173x + 133)
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B
$(6x + 122)
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C
$(6x + 133)
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D
$(193x + 133)
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Solution

The correct option is C $(6x + 133)
Given:
Investment by family = $(113x + 52)
Investment by friends = $(73x + 81)

Let’s add the two linear expressions using properties of expression to calculate total investment.

Using commutative property:
113x + 73x + 52 + 81


Using associative property:
= (113x + 73x) + 52 + 81

= (183x) + 133

= 6x + 133

Therefore, the total funds invested is
$(6x + 133).

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