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Korolek [52]
3 years ago
6

Lakeisha said that the juice boxes might have cost 52 cents each and that the bottles of water might have cost 33 cents each. Us

e
your system of equations to justify that Lakeisha's prices are not possible.
Mathematics
1 answer:
Sever21 [200]3 years ago
5 0

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.

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Step-by-step explanation:

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