The owner of a new restaurant is ordering tables and chairs. He wants to have only tables for 2 and tables for 4. The total numb
er of people that can be seated in the restaurant is 120.
1. Describe some possible combinations of 2-seat tables and 4-seat tables that will seat 120 customers. Explain how you found them
1. Describe some possible combinations of 2-seat tables and 4-seat tables that will seat 120 customers. Explain how you found them
1 answer:
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Answer:
Short-Term investment: 5000$
Intermediate-Term investment: 65000$
Long-Term investment: 30000$
Step-by-step explanation:
To construct our first equation lets define sort-term bond investment as x, long-term investment as y.
So the equation is:
From the equation it is found that:
Instead of y, if we put 25000+x the equation will be as following:
From the equation it is found that:
Short-Term investment is 5000$
Long-Term investment is 30000$
Rest of the money is Intermediate-Term investment 65000$
L = hours used by the Lopez's sprinkler
R = hours used by the Russell's sprinkler
so, we know the Lopez's sprinkler uses 15 Liters per hour, so say after 1 hour it has used 15(1), after 2 hours it has used 15(2), after 3 hours it has used 15(3) liters and after L hours it has used then 15(L) or 15L.
likewise, the Russell's sprinkler, after R hours it has used 40R, since it uses 40 Liters per hour.
we know that both sprinklers combined went on and on for 45 hours, therefore whatever L and R are, L + R = 45.
we also know that the output on those 45 hours was 1050 Liters, therefore, we know that 15L + 40R = 1050.
how long was the Lopez's on for? well, L = 45 - R.
R = hours used by the Russell's sprinkler
so, we know the Lopez's sprinkler uses 15 Liters per hour, so say after 1 hour it has used 15(1), after 2 hours it has used 15(2), after 3 hours it has used 15(3) liters and after L hours it has used then 15(L) or 15L.
likewise, the Russell's sprinkler, after R hours it has used 40R, since it uses 40 Liters per hour.
we know that both sprinklers combined went on and on for 45 hours, therefore whatever L and R are, L + R = 45.
we also know that the output on those 45 hours was 1050 Liters, therefore, we know that 15L + 40R = 1050.
how long was the Lopez's on for? well, L = 45 - R.