Troy and Lisa were shopping for school supplies. Each purchased different quantities of the same notebook and thumb drive. Troy
bought 6 notebooks and 7thumb drives for 185$. Lisa bought 14 notebooks and 12 thumb drives for 332$. Find the cost of each notebook and thumb drive
1 answer:
Answer:
Notebook is $4
Thumb drive is $23
Step-by-step explanation:
Let notebooks be x and thumb drives be y
6x+7y=$185
14x+12y=$332
These two are simultaneous equation. Multiplying the first equation by 7 and second by 3 we obtain
42x+49y=$1295
42x+36y=$996
Subtracting the third equation from the fourth
996-1295=-$299
(36-49)y=-23y
-23y=-$299
y=$299/13=$23
To get the value of x, we substitute the value of y into the first equation
6x+(7*23)=$185
6x=$185-$161
6x=$24
x=$4
Therefore, price of notebook is $4, price of thumb drive is $23
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