A box contains blue, red, and green pens. 25% of the pens are green and 35% are red. 48 blue pens cannot be used, but the remain
ing 40% of the blue pens are usable
How many blue pens are there?
How many pens are there altogether in the box
How many blue pens are there?
How many pens are there altogether in the box
2 answers:
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Answer:
Number of metric tons of corn produced by country A = 373 million MT
Number of metric tons of corn produced by country B = 234 million MT
Number of metric tons of corn produced by country C = 57 million MT
Step-by-step explanation:
From the given information we have
A+B+C = 664 ____equation(1)
A = B+C+82 ____equation(2)
B = C + 177 ____equation(3)
1) Plugging in B=C+177 into equation 2, we get
A = B+C+82
=> A = (C+177) + C +82
=> A = C+177+C+82
=> A = C +C +177+82
=> A= 2C + 259 ____let it be equation (4)
2) Plugging in A=2C+259 from equation 4 and B=C+177 from equation 3 into the equation 1, we get
A+B+C = 664
=> (2C+259)+(C+177)+C = 664
=> 2C+C+C+259+177 = 664
=> 4C + 436 = 664
3) Subtracting 436 from both the sides, we have
4C + 436 - 436 = 664 - 436
4) Cancelling out +436 and -436 from the left side, we get
4C = 228
5) Dividing both the sides by 4, we get
6) Cancelling out the 4's from the left, we get
C = 57
7) Plugging in C=57 into the equation 3, we get
B = C + 177
=> B = 57+177
=> B = 234
8) Plugging in B=234 and C=57 into the equation 1, we get
A+B+C = 664
=> A+234+57=664
=> A + 291= 664
9) Subtracting 291 from both the sides, we get
A + 291 - 291 = 664 - 291
10) Cancelling out +291 and -291 from the left side, we get
A = 373
So, A = 373, B= 234, C=57