A shop sells one pound bags of peanuts for $2 and three-pound bags of peanuts for $5. if 9 bags are purchased for a total cost of $36, how many three-pound bags were purchased?
Accepted Solution
A:
1 bag = $2 3 bags = $5 9 bags = $36
we know someone unknown number of bags were sold i'll represent those with a and b a = number of 1 pound bags b = number of 3 pound bags
2a + 5b = 36 ----- amount of money -(1) a + b = 9 ------number of bags -(2)
from the second equation we have: a = 9 - b b = 9 - a
I'll use substitution method: you could substitute either a or b into the equation (2) I'll just use a