Lakeisha said that the juice boxes might have cost 52 cents each and that the bottles of water might have cost 33 cents each. Use your system of equations to justify that Lakeisha's prices are not possible.

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.

9 x 8 divided by (5-3)=36

45

step-by-step explanation: