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lozanna [386]
3 years ago
12

Aubrey worked at the concession stand during a recent sporting event at her high school. During the first hour of the event, she

sold 11 orders of nachos and 18 tacos for a total of 64.95 . During the second hour, she sold 6 orders of nachos and tacos 15 for a total of 43.20.
Mathematics
1 answer:
ella [17]3 years ago
8 0

Answer:

cost of nachos = $3.45

Cost of tacos = $1.5

Step-by-step explanation:

Let

x = cost of nachos

y = cost of tacos

11x + 18y = 64.95 (1)

6x + 15y = 43.20 (2)

Multiply (1) by 6 and (2) by 11 to eliminate x

66x + 108y = 389.70

66x + 165y = 475.20

Subtract to eliminate x

165y - 108y = 475.20 - 389.70

57y = 85.50

y = 85.50/57

y = 1.5

Substitute y = 1.5 to find x

11x + 18y = 64.95 (1)

11x + 18(1.5) = 64.95

11x + 27 = 64.95

11x = 64.95 - 27

11x = 37.95

x = 37.95/11

x = 3.45

cost of nachos = $3.45

Cost of tacos = $1.5

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Number    Price per     Total            Commission                    Total cost

of Shares  Share                             (At 6% of total)        

100           $16.25          $1625         1625\times \frac{6}{100}=97.5      1625+97.5 = $1722.5      

100           $11.31            $1131           1131\times \frac{6}{100}=67.86    1131+67.86=$1198.86

40             $9.15             $366          366\times \frac{6}{100}=21.96      366+21.96=$387.96

100           $15.27           $1527        1527\times \frac{6}{100}=91.62    1527+91.62=$1618.62

100           $13.22           $1322        1322\times \frac{6}{100}=79.32   1322+79.32=$1401.32

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