asked 87.8k views
5 votes
The cost of 3 apples, 2 mangos and 4 oranges is 43. the cost of 5 apples, 3 mangos and 6 oranges is 66. find the cost of one apple?

a. 4
b. 6
c. 5
d. 3

1 Answer

1 vote

Final answer:

To find the cost of one apple, we can use a system of equations based on the given information. By solving this system of equations, we can find the value of 'a' which represents the cost of one apple. The cost of one apple is $5 (Option C).

Step-by-step explanation:

To find the cost of one apple, we can use a system of equations based on the given information. Let's assign variables to represent the cost of each fruit:

Let's assume the cost of one apple is 'a' dollars, the cost of one mango is 'm' dollars, and the cost of one orange is 'o' dollars.

From the first sentence, we can write the equation 3a + 2m + 4o = 43, and from the second sentence, we can write the equation 5a + 3m + 6o = 66.

By solving this system of equations, we can find the value of 'a' which represents the cost of one apple.

  1. Multiply the first equation by 5 and the second equation by 3 to eliminate the 'a' variable.
  2. Subtract the second equation from the first equation to eliminate the 'm' and 'o' variables.
  3. Solve for 'a'.

The cost of one apple is $5.

answered
User Maysara
by
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