Write this problem as an equation and solve. A number of birds visit a bird feeder. Three times as many

blue-jays-robins

#1

Write this problem as an equation and solve. A number of birds visit a bird feeder. Three times as many Blue Jays as Robins visit the bird feeder. The sum of all the birds that visited the bird feeder was 60. How many of the birds were Robins, and how many were Blue Jays?

Answer:

t’s call Blue Jays “b” and Robins "r"
the sum of all the birds that visited the bird feeder was 60.
So the number of blue jays + the number of robins = 60
We now have the equation b+r=60

Three times as many blue jays as robins visited the bird feeder
So blue jays/3 = 1 robin
b/3=1r
we can simplify 1r to just r

Now we have 2 equations
b+r=60 and
b/3=r

Let’s rewrite b/3=r
if we multiply both sides by 3, we get b=3r

Now, our equations are
b+r=60 and
b = 3r

let’s replace b with 3r in our first equation since we know that b and 3r are the same thing
3r+r=60
add the r’s together
4r=60
divide both sides by 4
r=15
Now we know that there were 15 robins

To find the number of Blue Jays, we go back to our first equation
b+r=60
now that we know that we have 15 Robins we have, we can replace r with 15
b+15=60
subtract 15 from both sides
b=45
We have 45 Blue Jays

So the answer is 15 Robins and 45 Blue Jays