masonmotormouth12
contestada

Nestle Crunches cost 30 cents and Snickers cost 50 cents. Jessica and Tori
treated the class and they spent $6.80. How many students had Snickers if these
numbered 4 less than those who had Nestle Crunches?

Respuesta :

mhanifa

Answer:

  • 7 students had Snickers

Step-by-step explanation:

  • Nestle Crunches - n
  • Snickers - s

System of equations according to given:

  • 30n + 50s = 680     (converted $6.80 into 680¢)
  • n = s + 4

Substitute n into first equation and solve for s:

  • 30(s + 4) + 50s = 680
  • 30s + 120 + 50s = 680
  • 80s = 680 - 120
  • 80s = 560
  • s = 560/80
  • s = 7
  • Nestle crunches be x
  • Snickers be y

Equations are

  • 0.30x+0.50y=6.80=>30x+50y=680--(1)
  • x=4+y=>x-y=4-(2)[/tex]

EQUATION(2)× 30

[tex]\\ \sf\longmapsto 30x-30y=120--(3)[/tex]

Subtracting (1) and (3)

[tex]\\ \sf\longmapsto 80y=560[/tex]

[tex]\\ \sf\longmapsto y=7[/tex]

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