Answer:
1st equation is satisfied but 2nd equation is not satisfied
∴ Lakeisha's prices are not possible.
Step-by-step explanation:
P.S - the exact question is -
Let 1 juice box cost = $x
1 bottle of water cost = $y
As given , one teacher purchased 18 juice boxes and 32 bottles of water and spent $19.92
Second teacher purchased 14 juice boxes and 26 bottles of water and spent $15.76
∴ the equations becomes
18x + 32y = 19.92 .......(1)
14x + 26y = 15.76 ........(2)
Now,
Lakeisha said that the juice boxes might have cost 52 cents each and that the bottles of water might have cost 33 cents each.
As we know that 1$ = 100 cent
⇒1 cent = $0.01
⇒52 cent = $0.52
and 33 cent = $0.33
So, here given value of x = 0.52 , y = 0.33
Now, we have to satisfy the 2 equations
(1) equation -
18(0.52) + 32(0.33) = 19.92
⇒ 9.36 + 10.56 = 19.92
⇒ 19.92 = 19.92
Satisfied
(2) equation -
14(0.52) + 26(0.33) = 15.76
⇒ 7.28 + 8.58 = 15.76
⇒ 15.86 ≠ 15.76
Not Satisfied
∴ we get
Lakeisha's prices are not possible.
