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IgorC [24]
3 years ago
6

A group of friends ordered 3 burgers and 3 medium fries for a total of $17.55. The price of a burger is .75 more than two times

the price of medium fries. What is the cost of one burger?
Mathematics
1 answer:
Tatiana [17]3 years ago
6 0

Answer:

Cost price of the burger = $4.15

Step-by-step explanation:

Given data:

3 burgers were ordered

3 medium fries were ordered

Total order cost 17.55

Let the price of the burger be X

Let the price of the medium fries be Y

<em>Equation for the total sale will be </em>3X + 3Y = 17.55 <em>(equation 1)</em>

<em>from this statement 'The price of a burger is .75 more than two times the price of medium fries.' </em>

X - 2Y = 0.75 <em>(equation 2)</em>

<em>There are now two equations and two unknowns, a simultaneous equation is solved to find the cost of the  burger.</em>

<em>Many methods can be used to solve these equations but in this case substitution will be used</em>

<em>From equation 2 </em>

X = 0.75 + 2Y<em> (equation 3)</em>

<em>Substituting equation 3 into equation 1</em>

3(0.75 + 2Y) + 3Y = 17.55

2.25 + 6Y + 3Y = 17.55

6Y + 3Y = 17.55-2.25

9Y = 15.3

Y = 1.7

<em>Substituting Y into equation 3</em>

X = 0.75 + 2Y

X = 0.75 + 2(1.7)

X = 0.75 + 3.4

X = 4.15

Therefore the cost price of the burger is $4.15

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