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SpyIntel [72]
3 years ago
15

Bags of almonds cost three dollars more than bags of pecans the owner of a bakery ordered five bags of almonds and three bags of

pecans the total cost of the order was $55 how much is a bag of almonds cost if a represent almonds which equation represents the situation
Mathematics
1 answer:
antiseptic1488 [7]3 years ago
6 0

Answer:

Let bags of pecans cost = x

Make an equation :

Bags of almonds cost = x + 3 (they said almonds cost 3 dollars more)

Total number of bags ordered: (3 bags pecans) + (5 bags of almonds)

Cost for pecans = 3x

Cost for almonds = 5(x + 3) = 5x + 15

Price of pecans + price of almonds = total cost

Solve for x:

3x + 5(x + 3) = 55 (remove brackets)

3x + 5x + 15 = 55 (add like terms)

8x + 15 = 55

8x + 15 - 15 = 55 - 15 (get rid of the 15)

8x = 40

8x/8 = 40/8

x = 5

bags pecans cost is $5

bags of almonds is $5+$3 = $8

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Let the weight of the full Volume of nails in the box be W.
Let the weight of the box be B.

2/3 W  + B =  130 ........i          From the first statement.
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Equation (i)  Minus (ii)

2/3 W  - 3/8 W + B  - B =  130 - 74
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Substituting V = 64 in equation (i)
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Answer:

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We know that sec(x) = 1/cos(x)

So the equation becomes                1/cos(x) = + or - √2

Divide '1' by each side:                    cos(x)  =  + or -  (1/2) √2

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</em>
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