Question

Two pieces of equipment were purchased for a total of $4000. If one piece cost $850 more than

Answer 1

The price of less expensive equipment is $1575.

Step-by-step explanation:

Let,

Price of one equipment = x

Price of other equipment = y

According to given statement;

x+y=4000   Eqn 1

x = y+850    Eqn 2

Putting Eqn 2 in Eqn 1

$(y+850)+y=4000\\y+850+y=4000\\2y=4000-850\\2y=3150$

Dividing both sides by 2;

$\frac{2y}{2}=\frac{3150}{2}\\y=1575$

Putting y=1575 in Eqn 2;

$x=1575+850\\x=2425$

The price of less expensive equipment is $1575.

Keywords: linear equation, substitution method

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