Answer:
price of each bags of popcorn = $9.75
price of each drinks = $5
Step-by-step explanation:
Let
price of each bags of popcorn = a
price of each drinks = b
Caleb total cost
7a + 2b = 78.25.......(i)
Jeremiah total cost
a + 10b = 59.75.......(ii)
7a + 2b = 78.25
a + 10b = 59.75
a = 59.75 - 10b
insert the value of a in equation (i)
7a + 2b = 78.25
7( 59.75 - 10b) + 2b = 78.25
418.25 - 70b + 2b = 78.25
418.25 - 68b = 78.25
418.25 - 78.25 = 68b
340 = 68b
b = 340/68
b = 5
Insert the value of b in equation (ii)
a + 10b = 59.75.......(ii)
a + 10 × 5 = 59.75
a = 59.75 - 50
a = 9.75
price of each bags of popcorn = $9.75
price of each drinks = $5
