Miles and Emma are buying jam and pies at a farm stand. Mrs. Moore sells all jars of jam for the same price. She also sells all of her pies for the same price. Miles pays $37.50 for 5 jars of jam and 2 pies. Emma pays $40.50 for 4 jars of jam and 3 pies. Write a system of equations that can be used to determine the cost of one jar of jam and the cost of one pie.

Question

Miles and Emma are buying jam and pies at a farm stand. Mrs. Moore sells all jars of jam for the same price. She also sells all of her pies for the same price. Miles pays $37.50 for 5 jars of jam and 2 pies. Emma pays $40.50 for 4 jars of jam and 3 pies. Write a system of equations that can be used to determine the cost of one jar of jam and the cost of one pie.

Answer 1

Let x be the price of one jar of jam and y be the price of one pie.

From the given information, we can form the following two equations:

5x + 2y = 37.50
4x + 3y = 40.50

These equations represent the total cost of Miles' and Emma's purchases respectively.