A mixture of 40 kg of bird's seed is worth 6 pesos per kg to make up by taking some worth 4.50 pesos per kg and some worth 8.50 per kg. How many kg of each should be taken?

Answer please...solution

Question

A mixture of 40 kg of bird's seed is worth 6 pesos per kg to make up by taking some worth 4.50 pesos per kg and some worth 8.50 per kg. How many kg  of each should be taken?

Answer please...solution

dumbcow · Answer

A+B = 40
4.5A + 8.5B = 40*6 = 240
use substitution 
A = 40-B
4.5(40-B) +8.5B = 240
180 -4.5B +8.5B = 240
4B = 60
B = 15

A = 40-15 = 25

anonymous · Answer

what is the final answer?

dumbcow · Answer

what?
are you having difficulty following my work?
A is amount of seed worth 4.5 pesos
B is amount of seed worth 8.5 pesos
i solved for A and B

anonymous · Answer

can you change the variable into x and y??

dumbcow · Answer

sure, you can make the variables whatever make sense to you

dumbcow · Answer

so i call it A, you can call it x, someone else can call it P
but either way it still represents the same thing which is the number of kg of bird seed worth 4.5 pesos