In the given question, there are two vital information's give. Firstly 8 ears of corn and 1 cantaloupe cost $2.37. On the other hand 6 ears of corn and 3 cantaloupes cost $3.51. Let us assume the cost of 1 corn = X Let us assume the cost of 1 cantaloupe = Y Then 8X + Y = 2.37 Y = 2.37 - 8X And 6X + 3Y = 3.51 Now we replace the value of Y we found from the first equation Then 6X + 3(2.37 - 8X) = 3.51 6X - 24X + 7.11 = 3.51 -18X = 3.51 - 7.11 -18X = -3.6 X = 3.6/18 = 0.20 So $0.20 is the value of 1 corn. Then the value of a cantaloupe Y = 2.37 - 8X = 2.37 - (8 * 0.20) = 2.37 - 1.6 = 0.77 So cost of a cantaloupe is $0.77
