Answer:
<em>Heidi'd mom made 32 rose arrangements and 8 tulip arrangements.</em>
Step-by-step explanation:
Let the number of rose arrangements be = x
Let the number of tulip arrangements be = y
Heidi's mom made 4 times as many rose arrangements as tulip arrangements.
We get the equation;
Heidi's mom made 40 arrangements. We get the second equation:
Substituting the value of x from first equation to second equation, we get

=> 
Dividing both sides by 5;
y = 8
And x = 4y
So, 
x = 32
<em>Hence, Heidi'd mom made 32 rose arrangements and 8 tulip arrangements.</em>