Three pigs and two piglets weigh 32 kg. Four pigs and five piglets weigh 59 kg. What is the weigh of one pig and one piglet?
A) 13 kg
B) 91 kg
C) 7 kg
D) none of these
No. I need help
I think it is 13.
To solve this problem, we can set up a system of equations based on the given information.
Let's assume the weight of a pig is represented by "p" and the weight of a piglet is represented by "g".
From the first statement, we can form the equation:
3p + 2g = 32 (1)
From the second statement, we can form the equation:
4p + 5g = 59 (2)
To solve this system of equations, we can use a method called "substitution." Let's solve for "p" in equation (1) and substitute it into equation (2).
Rearranging equation (1):
3p = 32 - 2g
p = (32 - 2g) / 3
Now, substitute "p" in equation (2):
4((32 - 2g) / 3) + 5g = 59
Simplify the equation:
(128 - 8g) / 3 + 5g = 59
Multiply both sides by 3 to eliminate the fraction:
128 - 8g + 15g = 177
Combine like terms:
7g = 49
Divide both sides by 7 to solve for "g":
g = 7
Now, substitute "g" back into equation (1) to find "p":
3p + 2(7) = 32
3p + 14 = 32
3p = 18
p = 6
Therefore, the weight of one pig and one piglet is 6 + 7 = 13 kg.
Hence, the answer is A) 13 kg.
3P+3PL=32
4P+5PL=59
can you take it from here?