Eight ears of corn and a cantaloupe cost $2.37. six ears of corn and 3 cantaloupes cost $3.51. what does a cantaloupe cost?

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