Lizzie has 18 dimes and 12 quarters
<em><u>Solution:</u></em>
Let "d" be the number of dimes
Let "q" be the number of quarters
We know that,
value of 1 dime = $ 0.10
value of 1 quarter = $ 0.25
Given that LIzzie has 30 coins
number of dimes + number of quarters = 30
d + q = 30 ---- eqn 1
Also given that the coins total $ 4.80
number of dimes x value of 1 dime + number of quarters x value of 1 quarter = 4.80

0.1d + 0.25q = 4.8 ------ eqn 2
Let us solve eqn 1 and eqn 2
From eqn 1,
d = 30 - q ---- eqn 3
Substitute eqn 3 in eqn 2
0.1(30 - q) + 0.25q = 4.8
3 - 0.1q + 0.25q = 4.8
0.15q = 1.8
<h3>q = 12</h3>
From eqn 3,
d = 30 - 12
<h3>d = 18</h3>
Thus she has 18 dimes and 12 quarters
Answer:
D. 8 bottles
Step-by-step explanation:
one bottle of one is obviously $6.50
one bottle of two : $12.50 (1/2) = $6.25
one bottle of four: $26.00 (1/4) = $6.50
one bottle of six: $30.00 (1/6) = $5.00
one bottle of eight: $38.00 (1/8) = $4.75
8 bottles is the best buy
Alright, lets get started.
Mr. Hinckley owns 83 acres of total land.
He divides the land into eight equal sections to sell to eight buyers.
It means, we could find the land each buyer receives by dividing total land by 8.
So, each buyer receives land = 
So, each buyer receives land = 10.375 acres
So, the answer is 10.375 acres lands received by each buyer. : Answer
Hope it will help :)
In this question , we have to simplify the given ratio, which is
12xy:3x
First we have to see which factor is common in numerator and denominator,
We can write 12 as 3 times 4, that is

So the common factor is 3x.
In the next step, we cancel out 3x

And that's the required simplified form .