Answer:
standard form to represent the situation equation is 5a + 4.75b = 72.50
Step-by-step explanation:
given data
selling popcorn = $5.00
hotdogs = $4.75
makes = $72.50
solution
we consider here number of bucket sold = a
and number of hotdogs sold = b
Then after 1 hour she makes $72.50
equation for number of popcorn and number of hotdogs sold after an 1 hour is express as
$72.50 = number of bucket sold × price of popcorn per bucket + number of hotdogs sold × price of hotdog ...............................1
put here value and we get
72.50 = 5 × a + (4.75) × b
5 a + 4.75 b = 72.50
so here equation is equivalent to the standard form in the linear equation that is express ( Ax + By = C )
and here A and B are non zero with A, B and C all three are real number
so standard form to represent the situation equation is 5a + 4.75b = 72.50
For easier notation lets use: Nn=x and Nd=y
x+y=22
5x+10y=135
Multiply the first equation by 5 to get
5x+5y=110
Now you can eliminate x by subtracting the first equation from the second
5x+10y-5x-5y=135-110
5y=25
y=5
x=17
Answer:
61, 71, 83
Step-by-step explanation: