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nexus9112 [7]
3 years ago
5

A grocer mixed walnuts worth $1.02 per pound with peanuts worth $0.99 per pound. If she made 69 pounds of a mixture worth $1 per

pound, how many pounds of walnuts are in the mixture?
Mathematics
1 answer:
Nataly [62]3 years ago
6 0
The cost of the mixture is $69 *$1 = $69. If all 69 pounds were peanuts, the cost would be 69*$0.99 = $68.31, which is $0.69 less. Each pound of walnuts used instead of peanuts adds $0.03 to the cost of the mixture, so there were $0.69/$0.03 = 23 pounds of walnuts. 
<span>_____ </span>
<span>Let w represent the number of pounds of walnuts in the mixture. Then 69-w is the number of pounds of peanuts. The cost of the mixture will be </span>
<span>1.02w + 0.99(69-w) = 1.00*69 dollars </span>
<span>0.03w + 68.31 = 69.00 </span>
<span>w = (69.00 - 68.31)/0.03 = 0.69/0.03 = 23</span>
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Answer

-15x - 30 > -3x + 54

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Let's break this sentence down.

Thirty less than means [whatever goes before] minus 30.

Negative fifteen is -15.

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Negative three is -3.

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Now let's write down the equation.

Let's break both sides of the inequality, meaning the left side of 'greater than' and the right side.

The left side says this; "thirty less than negative fifteen times a number."

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So thirty less is minus 30. You are subtracting from "negative fifteen times a number."

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So the left side of the inequality is -15x - 30.

The right side says this; "54 more than negative three times a number."

54 more than means adding 54 meaning + 54.

And you are adding 54 to "negative three times a number."

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So the right side of the inequality is -3x + 54.

So the full inequality is -15x - 30 > -3x + 54.

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