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
![\sqrt{x} - \sqrt{y} = (\sqrt[4]{x}+ \sqrt[4]{y} )( \sqrt[4]{x} - \sqrt[4]{y} )=72\\\\ \sqrt[4]{x}- \sqrt[4]{y}=6\\\\ (\sqrt[4]{x}+ \sqrt[4]{y})*6=72\\\\ \sqrt[4]{x}+ \sqrt[4]{y}=12 \\ \sqrt[4]{x}- \sqrt[4]{y}=6 \\\\ 2 \sqrt[4]{x}=18==\textgreater\sqrt[4]{x}=9==\textgreater\ x=6561\\ 2 \sqrt[4]{y}=6==\textgreater\sqrt[4]{y}=3==\textgreater\ y=81\\ ](https://tex.z-dn.net/?f=%20%5Csqrt%7Bx%7D%20-%20%5Csqrt%7By%7D%20%3D%20%28%5Csqrt%5B4%5D%7Bx%7D%2B%20%5Csqrt%5B4%5D%7By%7D%20%29%28%20%5Csqrt%5B4%5D%7Bx%7D%20-%20%5Csqrt%5B4%5D%7By%7D%20%29%3D72%5C%5C%5C%5C%0A%5Csqrt%5B4%5D%7Bx%7D-%20%5Csqrt%5B4%5D%7By%7D%3D6%5C%5C%5C%5C%0A%28%5Csqrt%5B4%5D%7Bx%7D%2B%20%5Csqrt%5B4%5D%7By%7D%29%2A6%3D72%5C%5C%5C%5C%0A%5Csqrt%5B4%5D%7Bx%7D%2B%20%5Csqrt%5B4%5D%7By%7D%3D12%20%5C%5C%20%0A%5Csqrt%5B4%5D%7Bx%7D-%20%5Csqrt%5B4%5D%7By%7D%3D6%20%5C%5C%5C%5C%0A2%20%5Csqrt%5B4%5D%7Bx%7D%3D18%3D%3D%5Ctextgreater%5Csqrt%5B4%5D%7Bx%7D%3D9%3D%3D%5Ctextgreater%5C%20x%3D6561%5C%5C%0A2%20%5Csqrt%5B4%5D%7By%7D%3D6%3D%3D%5Ctextgreater%5Csqrt%5B4%5D%7By%7D%3D3%3D%3D%5Ctextgreater%5C%20y%3D81%5C%5C%0A%0A%0A%20)
![\sqrt[4]{6561} - \sqrt[4]{81} =9-3=6\\\\ \sqrt{6561} - \sqrt{81} =81-9=72](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B6561%7D%20-%20%5Csqrt%5B4%5D%7B81%7D%20%3D9-3%3D6%5C%5C%5C%5C%0A%20%5Csqrt%7B6561%7D%20-%20%5Csqrt%7B81%7D%20%3D81-9%3D72)
