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MAVERICK [17]
2 years ago
6

Using what you have learned about solving systems of equations, find the number that represents the apple, banana, and cherry.

Mathematics
1 answer:
sineoko [7]2 years ago
3 0

Answer:

Apple \to 4

Banana \to 4

Cherry \to 5

Step-by-step explanation:

Given

A \to Apple

B \to Banana

C \to Cherry

From the rows, the equation is:

B + 2A  =12 --- (1)

2B + C = 13 --- (2)

A + 2C = 14 --- (3)

Make A the subject in: A + 2C = 14

A = 14 -2C

Substitute A = 14 -2C in B + 2A  =12

B + 2(14 - 2C ) = 12

B + 28 - 4C = 12

Make B the subject

B = 4C - 28 +12

B = 4C -16

Substitute B = 4C -16 in 2B + C = 13

2(4C - 16) + C = 13

8C - 32 + C = 13

Collect like terms

8C + C = 13+32

9C = 45

Divide by 9

C = 5

Recall that:

B = 4C -16

B =4*5-16

B =20-16

B =4

Recall that:

A = 14 -2C

A= 14 -2*5

A= 14 -10

A =4

Hence:

Apple \to 4

Banana \to 4

Cherry \to 5

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