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alisha [4.7K]
3 years ago
14

There are a total of 135 seats, 118 front handlebars and 269 wheels. How many bicycles, tandem bicycles, and tricycles in the wh

eel shop
Mathematics
1 answer:
Degger [83]3 years ago
7 0
118 handle bars tells us that there's 118 bikes

if all 118 bikes were regular bikes
118*2 = 236
we would be 33 wheels short

118*1 = 118
we would be 17 seats short

----

if 101 of the bikes are regular and 17 are tandem
101*1 = 101
17*2 = 34
we would have the right amount of seats

101*2 = 202
17*2 = 34
202 + 34 = 236
we would be 33 wheels short.

----

if 17 bikes are tandem, 33 are tricycle, and 68 are regular
17*2 = 34
33*3 = 99
68*2 = 136
we would have the right amount of wheels

---

Answer:
There are 68 bicycles, 17 tandem bicycles, and 33 tricycles.

This question isn't hard, it just takes longer since it's based off of guess and check.
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The average value of two positive numbers is 30% less than one of the two numbers. By which percentage is average value bigger t
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75% bigger

Step-by-step explanation:

Let the first number be x and the second be y.

So:

Average = \frac{x + y}{2}

And:

Average = (1 - 30\%) * x -----30% less than x

Substitute Average = (1 - 30\%) * x in Average = \frac{x + y}{2}

\frac{x + y}{2} = (1 - 30\%) * x

\frac{x + y}{2} = (1 - 0.30) * x

\frac{x + y}{2} = 0.70 * x

\frac{x + y}{2} = 0.70x

Cross multiply

x + y = 0.70x * 2

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Collect like terms

1.40x - x = y

0.40x = y

Make x the subject

x = \frac{y}{0.40}

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