PrincesaChrissy6366
26.06.2020 •
Mathematics
78% of a number, P, is 23.4 more than 117% of another number, Q. It is further given that is 40% of P. Find P and Q.
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Ответ:
Step-by-step explanation:
"78% of P" looks like this in an algebraic expression: .78P
"117% of Q" looks like this: 1.17Q
"...is 23.4 more than [above]" looks like this: [above] + 23.4
Putting that all together in one equation, knowing that the word "is" means "equals":
.78P = 1.17Q + 23.4
From there, we will now use the fact that Q is 40% of P, which looks like this:
Q = .4P
Now, using that substitution:
.78P = 1.17(.4P) + 23.4 and
.78P = .468P + 23.4 and
.312P = 23.4 so
P = 75
Going back up to what Q is equal to, we will sub in the value of P and solve for Q:
Q = .4P and P = 75, therefore,
Q = .4(75) so
Q = 30
Ответ:
3x-4y
Step-by-step explanation:
(2x-5y)+(x+y)=2x+x-5y+y=3x-4y