To get ready for a party this weekend i bought 6 pounds of carrots in 4 pounds of apples for 18.90 dollars i decided i needed more so i went back to the store and bought 3 pounds of both 10.74 dollars how much does each cost per pound

one pound of carrot costs $2.39

One pound of apple costs $1.14

Step-by-step explanation:

Let x represent the cost of one pound of carrot.

Let y represent the cost of one pound of apple.

To get ready for a party this weekend I bought 6 pounds of carrots in 4 pounds of apples for 18.90 dollars. This means that

6x + 4y = 18.9 - - - - - - - - -1

I decided I needed more so I went back to the store and bought 3 pounds of both 10.74 dollars. This means that

3x + 3y = 10.74 - - - - - - - -2

Multiplying equation 1 by 3 and equation 2 by 6, it becomes

18x + 12y = 56.7

18x + 18y = 64.44

Subtracting,

- 6y = - 6.84

y = - 6.84/ - 6

y = 1.14

Substituting y = 1.14 into equation 1, it becomes

6x + 4×1.14 = 18.9

6x + 4.56 = 18.9

6x = 18.9 - 4.56 = 14.34

x = 14.34/6 = 2.39

answer: 1 and 3

step-by-step explanation:

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