While conducting an inventory in their bicycle shop, the owner noticed the number of bicycles is 2 fewer than 10 times the numbe
r of tricycles. They also know there are 410 wheels on all the bicycles and tricycles in the store. Write and solve a system of equations to find the number of bicycles in the store.
Answer: The number of bicycles in the store is 178\ bicycles178 bicycles Step-by-step explanation: Let x------> the number of bicycles y-----> the number of tricycles we know that The bicycles has two wheels and the tricycles has three wheels so 2x+3y=4102x+3y=410 ------> equation A x=10y-2x=10y−2 ------> equation B substitute equation B in equation A and solve for y 2(10y-2)+3y=4102(10y−2)+3y=410 20y-4+3y=41020y−4+3y=410 23y=41423y=414 y=18\ tricyclesy=18 tricycles Find the value of x x=10(18)-2=178\ bicyclesx=10(18)−2=178 bicycles