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elliecruzriver
28.02.2020 •
Mathematics
Solving a System of Linear Equations - Applications - Item 92238
A car wash charges two prices depending on the size of the vehicle. The table shows
the number of cars and the number of SUVs washed in the past 3 hours. The total
earnings for hours 1 and 2 are given. Each car costs the same price, and each SUV
costs the same price. The system of equations can be used to represent the situation.
Use the drop-down menus to complete each statement.
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Ответ:
$132
Step-by-step explanation:
1) In this system of eqn x represents the price of washing cars and y represents the price of washing SUVs
2) From the given eqn,
y = (84 - 4x)/2
and
y = (126 - 3x)/5
equating both the equation,
(84 - 4x)/2 = (126 - 3x)/5
=> 210 - 10x = 126 - 3x
=> 7x = 84
=> x = 12
=> y = (84 - 48)/2 = 18
Hence the co-ordinate of intersection will be (12,18)
3) The total cost of 1 car and 1 suv = x + y = 12 + 18 = $ 30
4) The total earning of hour 3
= 5x + 4y
= 5.12 + 4.18
= 60 + 72
= $ 132
Ответ: