On anne's bicycle, the ratio of the pedal turns to rear-wheel turns in second gear is 4 to 7. If her rear wheel turns 875 times per mile, how many times does she turn the pedal in one mile? HINT: setup and solve as a proportion to find x.
x/875 = 4/7
To solve this problem, we will set up a proportion using the given ratio and then solve for the missing value. Let's call the number of pedal turns in one mile "x".
The given ratio states that for every 4 pedal turns, there are 7 rear-wheel turns. We can express this as follows:
(4 pedal turns) / (7 rear-wheel turns) = x pedal turns / (875 rear-wheel turns)
To solve this proportion, we can cross-multiply and solve for x. Cross-multiplying means multiplying the values diagonally across the equal sign:
(4 pedal turns) * (875 rear-wheel turns) = (7 rear-wheel turns) * (x pedal turns)
Solving this equation, we get:
3500 pedal turns = 7x
Next, we need to isolate the variable x. Divide both sides of the equation by 7:
3500 pedal turns / 7 = 7x / 7
500 pedal turns = x
Therefore, Anne turns the pedal 500 times in one mile.
To find the number of times Anne turns the pedal in one mile, we can set up a proportion using the given ratio.
Let's assume that for every 4 pedal turns, there are 7 rear-wheel turns. So, the proportion can be set up as:
4 pedal turns / 7 rear-wheel turns = x pedal turns / 875 rear-wheel turns
To solve for x, we can cross multiply:
4 * 875 = 7 * x
3500 = 7x
x = 3500 / 7
x = 500
Therefore, Anne turns the pedal 500 times in one mile.