Nuts.com sells raw almonds for $8 per pound and roasted pistachios for $9 per pound. Christopher spends $162, before taxes and shipping, to purchase 19 total pounds of nuts. How many pounds of pistachios did Christopher purchase?

Answer:

The pounds of roasted pistachios nuts Christopher purchases is 10 pounds

Step-by-step explanation:

The given parameters are;

The price of raw almonds at Nuts.com = $8 per pound

The price of roasted pistachios at Nuts.com = $9 per pound

The amount Christopher spends on Nuts = $162

The quantity of nuts Christopher purchase = 19 pounds

Let the pounds of raw almonds nuts Christopher purchases = X and the pounds of roasted pistachios nuts Christopher purchases = Y

∴ $8·X + $9·Y = $162...(1)

X + Y = 19...(2)

Making X the subject of the formula in equation (2), we have;

X = 19 - Y

Substituting the value X in equation (1) gives;

$8·(19 - Y) + $9·Y = $162

$152 - $8·Y + $9·Y = $162

$1·Y = $162 - $152 = $10

Y = $10/($1) = 10

Y = 10 pounds

The pounds of roasted pistachios nuts Christopher purchased = Y = 10

The pounds of roasted pistachios nuts Christopher purchases = 10 pounds

X = 19 - Y = 19 - 10 = 9

X = 9 pounds

The pounds of raw almonds nuts Christopher purchases = X = 9

The pounds of raw almonds nuts Christopher purchases = 9 pounds

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Solve for x
5x/6-2=8

George earns $9.50 per hour and $35.00 commission per sale, but he pays $12.00 in license fees each week. Mary earns $13.50 per hour and $11.25 for every defect she corrects, but she must pay $37.00 for tool rentals each week. The expressions below represent their individual earnings for every two-week pay period. George: 9.5h+35s−2(12) Mary: 13.5h+11.25d−2(37) where: h = the number of hours worked s = the number of sales George makes d = the number of defects Mary corrects

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Riding a Bicycle
It was a bright Sunday morning when Belle woke up with the biggest smile on her face. She had been looking forward to this day for a long time. Her father was going to teach her to ride a bicycle. She dressed quickly and gulped down her breakfast.

After breakfast, Belle’s father showed her the different parts of a bike. Then he said he would hold onto the back of the bike while she peddled. But Belle’s excitement got the better of her. She said she wanted to try riding by herself. Her father let go. Belle quickly lost her balance and crashed to the ground. The fall dazed her. She grumpily agreed to let her father keep holding the bike while she rode.

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A.
Belle starts showing more trust in her father as he teaches her how to ride a bike.
B.
Belle becomes less excited as the story goes on, until her excitement for bike riding disappears.
C.
Belle learns both how to ride a bike and how important it is not to give up.
D.
Belle gets hurt from falling off her bike, which scares her away from bike riding for good.

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