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Paladinen [302]
3 years ago
14

Can u pls tell me step by step ty

Mathematics
1 answer:
Delvig [45]3 years ago
8 0

Answer:

P=1440

Step-by-step explanation:

<em>"P is 90 more than Q."</em>

P=Q+90

<em>"20% of P is equal to 1/3 of Q."</em>

1/5(P)=(1/3)Q

From the first equation, we have that P=Q+90.

Thus, we can substitute any P's for Q+90's!

The second equation becomes 1/5(Q+90)=(1/3)Q

Distribute the 1/5 and 1/3 to get (1/5)Q+180=(1/3)Q

Subtract 1/5 Q from both sides.

You should get 180= (2/15)Q

Multiply both sides by 15/2 to get 1350=Q.

Given Q, we can easily solve for P.

Remember the first equation- P=Q+90

Then substitute in 1350 for Q.

So we have P=1350+90

Finally, we have P=1440

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