When n is a factor of a number, all factors of n are also factors of the number
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Answer:
$64
Step-by-step explanation:
After using a 25% discount coupon, they paid 48 for the video game.
It means, <em>which number, decreased by 25%, would give us 48?</em>
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First, 25% to decimal is:
25/100 = 0.25
Now, if we let the original price be "x", we can say:
x decreased by 0.25 of x would give us 48
Translating this to algebraic equation gives us:
x - 0.25x = 48
Now, we solve this:
If they paid full price, the video game would cost $64
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