John has a jar filled with 150 coins made up of quarters and nickels. The total value of the coins is $26.70. How many quarters and how many nickels are in the jar?
answers could be 75 quarters; 75 nickels 96 quarters; 54 nickels 104 quarters; 46 nickels 54 quarters; 96 nickels
@Dobby1
@Dobby1 @Easyaspi314 help!!
hey sorry I am late
its cool i already solved this one here is another
Faith mixes 14 liters of 12% acid solution with a 30% acid solution which results in an 18% acid solution. If x represents the number of liters of 30% acid solution used, which equation can be used to find the number of liters of 30% acid solution in the mixture?
answers could be 1.68 + 0.3x = 0.18(x + 14) 2.52 + 0.3x = 0.12(x + 14) 4.2 + 0.18x = 0.3(x + 14) 1.68 + 0.18x = 0.3(x + 14)
I would honestly pick the top one because the answer should have to do with 30% or .3 times the number of liters = 18% or .18 times the liters of 30% acid solution and 12%solution so I think A is the answer. :)
Marie mixes 16 liters of 18% acid solution with a 27% acid solution which results in 21% acid solution. here is another one Find the number of liters of 27% solution in the new mixture
answers could be 8 liters 12 liters 13.7 liters 16 liter
do they tell you the number of 21 percent acid solution their is
i dont think so no
ok looks like we are using the equation we found above this is going to be fun
ok lets make it fun!
Ok well let me post how the equation is going to look
\[.18(16)+.27x=.21(x+16)\]
first we have to multiply the stuff in the parenthasese by what is right next to is
so that means what we are multiplying is .18*16 and then we have .21*x+.21*16
so what is .18*16
you can put it in a calculator
@manguitar you still there?
yes im sorry
its fine just tell me what .18*16 equals
1.2 @Dobby1 ?
2.88
2.88 actually and brb afk
so what would that be in liters
no the 16 was liters we are supposed to multipy them together
so what would the answer be? out of the ones i gave you?
we are not done quite yet to find the answer we have to isolate x
ok
so now our equation looks like \[2.88+27x=.21(x+16)\]
ok continue
the next step is to multiply the x on the right side of the equal sign by .21 giving us .21x
next
that gives us \[2.88+27x=.21x+(.21*16)\]
ok next
now what I want you to do for this step is use a calculator to multiply .21*16
3.36
good now our equation looks like \[2.88+27x=.21x+3.36\]
ok next
= 3.57z
@gorv we are working on a different problem
so now we have to get rid of the .21x my subtracting it from both sides so now use a calculator and do this problem 27-.21
26.79
good @manguitar
its all good thank for helping though @gorv
\[2.88+26.79x=3.36\]
now I want you to do the following equation in your calculator 3.36-2.88
0.48
good now our equation is \[26.79x=.48\]
ok next
ok now you need to put the following equation into your calculator .48/26.79
0.01791713325
hmm
ok new plan
we are going to plug in the answer choices they gave you that should work
ok good
because the answer we got just now is way wrong so here are the answers
\[.18(16)+.27x=.21(x+16)\] 8 liters 12 liters 13.7 liters 16 liter
to solve we are going to have to plug each answer in for x
ok
so for the first answer our equation looks like \[.18(16)+.27(8)=.21(8+16)\]
ok next
when we do all the multiplying we get \[2.88+2.16=1.68+3.36\]
then we have to add and that gives us \[5.04=5.04\]
that seems right
ok it looks like we are right the answer is 8 liters I would love to help you more but I have to get some school done and eat lunch
ok me too thanks a lot! @Dobby1
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