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professor190 [17]
3 years ago
14

On a trip to the beach a family spent $350 on hotel, and $275 on food. They rented bikes for $35 and later went to the movies an

d spent some money on admission and popcorn. All together they spent $710. How much did the family spend on admission and popcorn?
A) $40
B) $45
C) $50
D) $55
Mathematics
1 answer:
sergeinik [125]3 years ago
8 0

350 + 275 + 35 = 660

710 - 660 = 50

C. $50

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(-4, 0)

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Answer:  4r + 5(20-r) \le 92

=======================================

Explanation:

r = number of red pens

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If John buys r red pens, then he must buy 20-r black pens so that r and 20-r add to 20.

John buys 20-r black pens, and at $5 each, so it will cost 5(20-r) dollars for just the black pens alone.

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We want $92 be the most he spends. This is the ceiling or highest value possible.

Therefore,

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--------------------

Extra info:

If you want to solve for r, then

4r + 5(20-r) \le 92

4r + 5(20)+5(-r) \le 92 distribute

4r + 100 - 5r \le 92  

100 - r \le 92

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100 \le 92+r

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8 \le r

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So John must buy at least 8 red pens. The most he can buy is 20 red pens since he wants 20 pens total.

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