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.

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

Let Larji bought x number of yellow corns and y number of corns of peach and cream variety.

Since yellow corns costs 40 cents= $0.40 per piece,

thus, x such pieces would be of cost [tex]0.40x[/tex] dollars

Similarly, cost of peaches and cream variety of corn is 50 cents = $0.50 per piece, thus, y such pieces would be of cost [tex]0.50y[/tex]

Thus, the total cost of buying all type of corn = [tex]0.40x + 0.50y[/tex] dollars

Since total price is given as $5.70, thus,

[tex]5.70 = 0.40x + 0.50y[/tex] (first equation)

Since she buys total 12 corns, thus,

[tex]x + y = 12[/tex] (second equation)

Thus, the system of equation that represents the given condition is

[tex]x + y = 0\\0.40x + 0.50y = 5.70[/tex]

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