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Greeley [361]
3 years ago
5

Derrick really wants to earn at least $330 at the Bike Shop. He earns $150 per week plus $15.50 for each bicycle that he assembl

es. How many bikes will he need to assemble this week in order to earn at least $330? (be careful when rounding in a real world problem to make sure that your answer works) Question 1 options: 10 bikes , 11 bikes , 12 bikes , 13 bikes
Mathematics
2 answers:
MA_775_DIABLO [31]3 years ago
8 0

Answer: He will need to assemble 12 bikes, because 12 x 15.50 = $186 and $186 + 150 = $336

Step-by-step explanation: Don't need one :)) it's basic math

stiv31 [10]3 years ago
8 0
330-150= 180 then divide 180 by 15.50 and you will get 11.6129 and you can round that to 12 bikes
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At the movie theater,the Clayton family bought 4 fountain drinks and 3 bags of popcorn and paid $22.75.how much is a fountain dr
Anna35 [415]
<h3><u>Question:</u></h3>

At the movie theater , the Clayton family bought 4 fountain drinks and 3 bags of popcorn and paid $22.50.  The Hanks family bought 5 fountain drinks and 2 bags of popcorn and paid $23.75.  How much is a fountain drink?  How much is a bag of popcorn ?

<h3><u>Answer:</u></h3>

Cost of 1 fountain drink is $ 3.75 and cost of 1 bag of popcorn is $ 2.5

<h3><u>Solution:</u></h3>

Let "f" be the price of 1 fountain drink

Let "p" be the price of 1 bag of popcorn

Given that Clayton family bought 4 fountain drinks and 3 bags of popcorn and paid $22.50

4 x price of 1 fountain drink + 3 x price of 1 bag of popcorn = 22.50

4 \times f + 3 \times p = 22.50

4f + 3p = 22.5 -------- eqn 1

Also given that Hanks family bought 5 fountain drinks and 2 bags of popcorn and paid $23.75

5 x price of 1 fountain drink + 2 x price of 1 bag of popcorn = 23.75

5 \times f + 2 \times p = 23.75

5f + 2p = 23.75 -----------------eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

Multiply eqn 1 by 2

2(4f + 3p = 22.5)

8f + 6p = 45 -------- eqn 3

Multiply eqn 2 by 3

3(5f + 2p = 23.75)

15f + 6p = 71.25 --------- eqn 4

<em><u>Subtract eqn 3 from eqn 4</u></em>

15f + 6p = 71.25

8f + 6p = 45

( - ) -------------------

7f = 26.25

f = 3.75

<em><u>Substitute f = 3.75 in eqn 1</u></em>

4(3.75) + 3p = 22.5

15 + 3p = 22.5

3p = 22.5 - 15

3p = 7.5

p = 2.5

Thus cost of 1 fountain drink is $ 3.75 and cost of 1 bag of popcorn is $ 2.5

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