Answer:
a) 2b = 3g
b) 3p = b
Step-by-step explanation:
Given:
Fire hydrant with a blue cap, b, provides water at a rate = 1500 gallons per min
Fire hydrant with a green cap, g, provides water at a rate = 1000 gallons per min
Fire hydrant with a purple cap, p, provides water at a rate = ½g =
a) The equation to relate the flow of water from the blue hydrant, b, to the flow from the green hydrant, g.
Given flow of blue hydrant, b = 500
Simplifying, we have:
b = 3*500
Since the flow rate of green hydrant, g, is 1000, let's replace 1000 with g above.
Therefore,
Cross multuply
The equation to relate the flow of water from the blue hydrant, b, to the flow from the green hydrant, g is 2b=3g.
b) An equation to relate the flow of water from the purple hydrant, p, to the flow from the blue hydrant, b.
Given flow rate of purple hydrant, p = 500
It could also be re-written as:
Since the flow rate of blue hydrant, b, is 1500, let's replace 1500 with b above.
Cross multiply
3p = b