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cestrela7 [59]
3 years ago
10

Here are two equations. k= a+b a+b+k=30 What is the value of k?

Mathematics
1 answer:
Rina8888 [55]3 years ago
5 0
(1) k = a + b
(2) a + b + k = 30

subtitute a + b = k to (2)

k + k = 30

2k = 30    |divide both sides by 2

k = 15
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Old McDonald had a farm. In one pen the old farmer had chickens and bulls together. In that pen there were 40 animals in total,
SVETLANKA909090 [29]

Answer:

There are 15 numbers of chicken and 25 numbers of bulls.

Step-by-step explanation:

The pen had chickens and bulls.  The pen contains 40 animals in total. The number of legs in the pen is 130 .

Let

a = number of chicken

b = number of bull

a + b = 40................(i)

A chicken has 2 legs and a bull has 4 legs.

The total legs can be represented as

2a + 4b = 130...........(ii)

combine the equation

a + b = 40................(i)

2a + 4b = 130...........(ii)

a = 40 - b

insert the value of a in equation(ii)

2(40 - b) + 4b = 130

80 - 2b + 4b = 130

80 + 2b = 130

2b = 130 - 80

2b = 50

divide both sides by 2

b = 50/2

b = 25

Insert the value of b in equation (i)

a + b = 40

a + 25 = 40

a = 40 - 25

a = 15

There are 15 numbers of chicken and 25 numbers of bulls.

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