Find the unit cost for each item. Make sure you enter your system of equations that you used.

Question

Four friends went to a farmer's market. Marco bought 5 pounds of strawberries, 10 poblano peppers, 13 lemons, and 12 coconuts for a total cost of $91.63. Destiny purchased 2 pounds of strawberries, 8 poblano peppers, and 7 coconuts for a total cost of $49.37. Luis purchased 1 pound of strawberries, 9 poblano peppers, 16 lemons, and 3 coconuts for a price of $43.10. Karla purchased 4 pounds of strawberries, 7 poblano peppers, 8 lemons for a cost of $29.36. Find the unit cost for each item. Make sure you enter your system of equations that you used.

Answer 1

this is a question of 4 equation in 4 unknowns. assume S = pounds of strawberries, P = number of poblano peppers, L = number of lemons, C = number of coconuts

 

equation 1

5S+10P+13L+12C=91.63

equation 2

2S+8P+0L+7C=49.37

equation 3

1S+9P+16L+3C=43.10

equation 4

4S+7P+8L+0C=29.36

 

from equation 2, C = (49.37-8P-2S)/7

from equation 4, L= (29.36-4S-7P)/8

 

substitute in equations 1 and 3, then you will have two equations in two unknowns S & P

 

all the best