Larji bought a dozen ears of corn. She prefers yellow corn, which costs 40 cents an ear, and her siblings prefer the peaches and cream variety, which costs 50 cents an ear. She buys a mixture of each type and pays $5.70. Which system of equations represents the number of ears of corn of each type that Larji purchased? X + y = 12. 0.40 x + 0.50 y = 5.70. X + y = 12. X + 0.50 y = 5.70. X + y = 5.70. 0.40 x + 0.50 y = 12. X + y = 5.70. 0.40 x + y = 12.

 x+y =12

0.40x+0.50y =5.70

Step-by-step explanation:

Let x = Number of ears of yellow corn

y - Number of ears of peaches and cream variety.

AS per given,

x+y = 1 dozen

⇒ x+y =12     [1 dozen =12]

Cost per ear of yellow corn = 40 cents = $0.40    [1 dollar = 100 cents, 1 cent = 0.01 dollar]

Cost per ear of peaches and cream variety = 50 cents = $ 0.50

Total cost ( in$): 0.40x+0.50y =5.70

Required system of equations represents the number of ears of corn of each type that Larji purchased:

x+y =12

0.40x+0.50y =5.70