The main idea here is to "translate" the words into maths.
First we need to identify the unknowns and label these.
We need to know the number if dimes and the number of quarters. So lets say
x: number of dimes
y: number of quarters
Now lets write equations from the written problem.
We know that there are 36 coind total, thus:
x + y = 36
We also know that the coins total 5.85 dollars, but it is better to count in cents, that is 585 cents.
x are the number of dimes, their value is x*10
y are quarters with value of y*25
thus:
10x+25y=585
We have two equations and two unknowns now, that needs to be solved to get the answer.
x + y = 36
10x+25y=585
For this case we have the following expression:

Rewriting the expression we have:
We apply distributive property to the terms of parentheses:

Answer:

Answer:
2:5
Step-by-step explanation:
Answer:
30 leaps
Step-by-step explanation:
Equation of rabbit:
y=7x+150
Equation of kangaroo:
y=12x
To solve the system of equations, use substitution
12x=7x+150
5x=150
x=30
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