Wilton collected $8.50 in dimes and quarters while cleaning his father's truck. If the number of quarters is 3 times the number
1 answer:
Answer:
Wilton found 10 dimes while cleaning his father's truck.
Step-by-step explanation:
Given that:
Total amount collected = $8.50 = 8.50*100 = 850 cents
Let,
x be the number of dimes
y be the number of quarters
According to given statement,
10x+25y=850 Eqn 1
y = 3x Eqn 2
Putting y=3x in Eqn 1
Dividing both sides by 85
As x represents dimes, therefore, number of dimes is 10.
Hence,
Wilton found 10 dimes while cleaning his father's truck.
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Now just cancel numerators with denominations. They all disappear. The cancelations leave 1 on both the numerator and denominator.
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You'll see this better if I use latex.
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<h3>Answer: Choice C</h3>
{x | x < -12 or x > -6}
=========================================================
Explanation:
Let's solve the first inequality for x.
(-2/3)x > 8
-2x > 8*3
-2x > 24
x < 24/(-2)
x < -12
The inequality sign flips when we divide both sides by a negative value.
Let's do the same for the second inequality.
(-2/3)x < 4
-2x < 4*3
-2x < 12
x > 12/(-2)
x > -6
The conclusion of each section is that x < -12 or x > -6 which points us to <u>choice C</u> as the final answer.
Side note: The intervals x < -12 and x > -6 do not overlap in any way. There's a gap between the two pieces. We consider these intervals to be disjoint. The number line graph is below.