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miss Akunina [59]
3 years ago
5

christopher is walking past a bike shop and looks inside. He sees some bicycles and some tricycles. He sees 32 seats and 77 whee

ls. How many tricycles are in the shop.
Mathematics
2 answers:
Blizzard [7]3 years ago
8 0

A bicycle has 2 wheels and a tricycle has 3 wheels. Both have only 1 seat so he saw a total of 32 bikes.

Let "x" represent the number of bicycles and "y" represent the number of tricycles. <em>The solution below is using the substitution method.</em>

x + y = 32 → x = 32 - y

2x + 3y = 77 → 2(32 - y) + 3y = 77 → 64 - 2y + 3y = 77 → 64 + y = 77 → y = 13

Answer: 13 tricycles

KATRIN_1 [288]3 years ago
4 0
  • Bicycles: 1 seat and 2 wheels
  • Tricycles: 1 seat and 3 wheels

So with this, we will be making a system of equations. One representing the amount of seats and one representing the amount of wheels. Let x = bicycles and y = tricycles:

x+y=32\\2x+3y=77

With this, I will be using the substitution method. Firstly, subtract y on both sides of the first equation:

x=32-y\\2x+3y=77

Next, substitute x in the second equation for (32 - y) and solve for y:

2(32-y)+3y=77\\64-2y+3y=77\\64+y=77\\y=13

<u>In short, there are 13 tricycles.</u>

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