Two bananas weigh as much as one apple and one cherry. One apple weighs as much as five cherries and one banana. How many cherries weigh as much as one apply??

Question

Two bananas weigh as much as one apple and one cherry. One apple weighs as much as five cherries and one banana. How many cherries weigh as much as one apply??

Answer 1

2b = a+c

a = 5c+b
so,
a = 5c + (a+c)/2
2a = 10c+a+c
a = 11c

Answer 2

Let's assign variables to the weights of the bananas, apple, and cherry.

Let B be the weight of one banana.
Let A be the weight of one apple.
Let C be the weight of one cherry.

From the given information, we can form two equations:

Equation 1: 2B = A + C
Equation 2: A = 5C + B

To find out how many cherries weigh the same as one apple (C = ?), we can substitute Equation 2 into Equation 1:

2B = (5C + B) + C

Simplifying the equation:

2B = 6C + B
B = 6C

This means that one banana weighs 6 times the weight of one cherry.

To find the weight of one apple:

A = 5C + B
A = 5C + 6C
A = 11C

Therefore, one apple weighs 11 times the weight of one cherry.

Thus, the answer is: One apple weighs as much as 11 cherries.

Answer 3

To solve this problem, we need to assign variables to represent the weights of the bananas, apple, and cherry. Let's say the weight of one banana is B, the weight of one apple is A, and the weight of one cherry is C.

According to the statement, two bananas weigh as much as one apple and one cherry. This can be expressed as 2B = A + C.

It is also given that one apple weighs as much as five cherries and one banana. So, A = 5C + B.

To find how many cherries weigh the same as one apple, we need to find the value of C.

We can solve this system of equations using substitution or elimination method.

Let's solve it using the substitution method:

From the second equation, we can express B in terms of A and C:
B = A - 5C

Now, substitute this value of B in the first equation:
2(A - 5C) = A + C

Simplifying the equation:
2A - 10C = A + C

Combining like terms:
A = 11C

This tells us that the weight of one apple (A) is equal to 11 times the weight of one cherry (C).

Therefore, to find how many cherries weigh the same as one apple, we divide the weight of one apple by the weight of one cherry:

1 apple = 11 cherries

So, one apple weighs the same as 11 cherries.

Two bananas weigh as much as one apple and one cherry. One apple weighs as much as five cherries and one banana. How many cherries weigh as much as one apply??

2b = a+c

5 cheries

Let's assign variables to the weights of the bananas, apple, and cherry.

To solve this problem, we need to assign variables to represent the weights of the bananas, apple, and cherry. Let's say the weight of one banana is B, the weight of one apple is A, and the weight of one cherry is C.