A parking meter contains $8.25 in dimes and quarters. after emptying the meter, the worker counts 51 coins. how many quarters and dimes were in the meter

Solution:

Let "d" be the number of dimes

Let "q" be the number of quarters

1 dime = $ 0.10

1 quarter = $ 0.25

The worker counts 51 coins

Therefore,

d + q = 51

d = 51 - q eqn 1

A parking meter contains $8.25 in dimes and quarters

Therefore,

0.10d + 0.25q = 8.25 eqn 2

Substitute eqn 1 in eqn 2

0.10(51 - q) + 0.25q = 8.25

5.1 - 0.10q + 0.25q = 8.25

0.15q = 3.15

Divide both sides by 0.15

Substitute q = 21 in eqn 1

d = 51 - 21

Thus 30 dimes and 21 quarters are present

the answer is c

hope this !

the population of other specie of birds will decline or other specie of birds will find some alternate source of food to survive.

explanation:

according to the competitive exclusion principle, which is also known as gause's law, two specie living in the same niche and feeding on the same resource cannot co-exist stably.

as we have well studied the theory of natural selection which states that only those organisms survive which have better tendency to compete for food and adapt to the environmental conditions.

coming towards the question, what wi ll happen when one species outcompetes the other for the small fish , the other specie will not get enough food and will start to die or decline in population. eventually either other specie needs to find another alternative food source for itself or migrate at some other location where there is less competition otherwise it will just not exist anymore at that niche.

hope it !