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WINSTONCH [101]
3 years ago
7

Remy has $150 to spend on party supplies. She spends $75.50 on decorations and various other supplies. She spent the remaining m

oney to order invitations. If she invited 20 people to her party, how much was the cost to print each invitation?
Mathematics
1 answer:
love history [14]3 years ago
7 0

Answer:

the cost to price of each invitation is $3.725

Step-by-step explanation:

Given that

On party supplies she incurred $150

For decorations and various other supplies she incurred $75.50

The remaining amount i.e.

= $150 - $75.50

= $74.50

This amount would be incurred for the invitations

Now she invited 20 people

SO the cost to price of each invitation is

= $74.50 ÷ 20 people

= $3.725

Hence, the cost to price of each invitation is $3.725

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The owner of a candy store wants to mix some peanuts worth $3 per pound, some cashews worth $10 per pound, and some Brazil nuts
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Let
x = pounds of peanuts
y = pounds of cashews
z = pounds of Brazil nuts.

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x + y + z = 50                   (1)

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The total is equal to the sum of the costs of the different nuts.
Because the cost for peanuts, cashews, and Brazil nuts are $3, $10, and $9 respectively, therefore
3x + 10y + 9z = 50*6.8
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There are 10 fewer pounds of cashews than peanuts, therefore
x = y + 10                         (3)

Substitute (3) into (1) and (2).
y + 10 + y + z = 50
2y + z = 40                     (4)
3(y + 10) + 10y + 9z = 340
13y + 9z = 310                (5)

From (4),
z = 40 - 2y          (6)
Substitute (6) into (5).
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Answer:
Peanuts:     20 pounds
Cashews:   10 pounds
Brazil nuts: 20 pounds


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