sataliyahanderson sataliyahanderson
  • 19-11-2021
  • Mathematics
contestada

A student bought a hot dog and juice for $3.75. If she had bought two hot dogs and three juices she would had paid $9.00. Calculate price of a hot dog and a juice

Respuesta :

Leora03
Leora03 Leora03
  • 19-11-2021

Answer:

hot dog= $2.25

juice= $1.50

Step-by-step explanation:

Let the price of a hot dog be $H and that of a juice be $J.

H +J= 3.75 -----(1)

2H +3J= 9 -----(2)

(1) ×2:

2H +2J= 7.5 -----(3)

(2) -(3):

2H +3J -(2H +2J)= 9 -7.5

Expand:

2H +3J -2H -2J= 1.5

J= 1.5

Substitute J= 1.5 into (1):

H +1.5= 3.75

H= 3.75 -1.5

H= 2.25

∴ The price of a hot dog and a juice is $2.25 and $1.50 respectively.

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