I need help with my math homework…?
Bike Shop.
1.some vehicles have sold and new models have been brought into the wheel shop.Now there are a different number of bicycles, tandem bicycles, and tricycles in the shop.There are a total of 135 seats, 118 front handlebars (that steer the bike), and 269 wheels.
2.In the back stockroom at the wheelshop, the number of seats and horns equaled the number of wheels. the number seats and handlebars equaled the number or horns.Twice the number or wheels is equal to three times the number of handlebars.Determine the relationship of horns to seats.
3.The repair department of the bicycle shop repairs three things: flat tires, bent handle bars and ripped sats. today in the repair department, 25% of the bikes had flat tires only, 5% had bent handlebars only, and 10% had ripped seats only. Just 1/12th of the bikes had all three repair to do: flat tires, bent handlebars and ripped seats. No bikes were completley fixed and there are a total of 101 repairs to be made.
x=bikes
y=trikes
z=tandems
x+y+2z=135 (seats)
x+y+z=118 (total front handle bars=total # of bike)
multiply each side by -1 and add it to the other equation
-1(x+y+z)= -1(118) —-> -x+-y+-z=-118
x+y+2z=135
+
-x-y-z=-118
z=17
plug z back in one of the original equations and you get
x+y=101
then you can also create an equation for the number of wheels. 2x+3y+2z=269 z=17 so 2x+3y+34=269
subtract 34
2x+3y=235
now we have to use substitution
x+y=101
x=(101-y) <--- substitute this into the other equation for x
2(101-y)+3y=235
202-2y+3y=235
bring 202 over add y values
y=33
then add that into the simplest equation x+(y=33)=101
x=68
That should basically give you the idea how to solve the other one's too
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