Question

help

Answer 1

@Michele_Laino

Answer 2

after \(N\) weeks, Eduardo spends \(7500+300 \cdot N\)

Answer 3

and after \(N \) weeks he earns \(850 \cdot N\), so Eduardo will have a profit if the subsequent condition holds:
\[850 \cdot N \geqslant 7500 + 300 \cdot N\]
namely earnings are greater or equal than expenses

Answer 4

please you have to solve that inequality

Answer 5

Idk how

Answer 6

If I subtract \(300N\) from both sides I get this:
\[850N - 300N \geqslant 7500 + 300N - 300N\]
please simplify

Answer 7

would that be 850-300
for the first part?

Answer 8

yes!

Answer 9

Ok! 550 right?

Answer 10

correct!
and what is +350-350=...?

Answer 11

oops.. what is +300-300=...?

Answer 12

0

Answer 13

I think

Answer 14

ok! so we get this inequality:
\[550N > 7500\]

Answer 15

ok

Answer 16

I wrote \(>\) because it is better than \(\geqslant \)

Answer 17

ok

Answer 18

so what would I have to do next?

Answer 19

now, we have to divide both side by 550, so we have:
\[\frac{{550N}}{{550}} > \frac{{7500}}{{550}}\]
please simplify again

Answer 20

How would I simplify those

Answer 21

what is 7500/550=...?

Answer 22

13.636

Answer 23

and what is 550/550=...?

Answer 24

1

Answer 25

ok so we get this:
\(1 \cdot N > 13.6363...\)

Answer 26

since the number of week has to be a whole number we can choose N=14

Answer 27

so it would be 14 weeks?

Answer 28

yes!

Answer 29

Oh ok thanks

Answer 30

:)

Answer 31

I have one more

Answer 32

@Michele_Laino

Answer 33

If I call with P the age of Pat and with R the age of Ron, then from the text of your problem, I can write this:
\[\begin{gathered}
2P + 5 = R \hfill \\
P + R < 35 \hfill \\
\end{gathered} \]

Answer 34

ok

Answer 35

I'm sorry my internet went down for a few minutes