Respuesta :
the cost of each notebook and thumb drive is $5 and $12 respectively .
Step-by-step explanation:
Here we have , Sam Ana Maria were shopping for school supplies. Each purchased different quantities of the same notebook and thumb drive. Sam bought 4 notebooks and 1 thumb drive for $32. Maria bought 3 notebooks and 2 thumb drives for $39. We need to find the cost of each notebook and thumb drive. Let's find out:
Let the cost of each notebook and thumb drive be x & y respectively , So
Sam bought 4 notebooks and 1 thumb drive for $32.
With info following is equation below:
⇒ [tex]4x+y=32[/tex] ....... (1)
Maria bought 3 notebooks and 2 thumb drives for $39
With info following is equation below:
⇒ [tex]3x+2y=39[/tex] ............ (2)
Multiplying equation (1) by 2 and Than subtracting (1) by (2):
⇒ [tex]2(4x+y)-(3x+2y)=2(32)-39[/tex]
⇒ [tex](8x+2y)-(3x+2y)=64-39[/tex]
⇒ [tex]5x=25[/tex]
⇒ [tex]x=5[/tex]
Putting [tex]x=5[/tex] in [tex]4x+y=32[/tex] we get:
⇒ [tex]4(5)+y=32[/tex]
⇒ [tex]y=32-20[/tex]
⇒ [tex]y=12[/tex]
Therefore , the cost of each notebook and thumb drive is $5 and $12 respectively .
