Homer the Hungry Hippo is munching on the lily pads in his pond. When he got to the pond, there were $30$ lily pads, but he is eating $5$ lily pads an hour. Henrietta the Hungrier Hippo found a better pond with $38$ lily pads! She eats $7$ lily pads every hour.

If Homer and Henrietta start eating at the same time, when will their ponds have the same number of lily pads remaining?
Hint (a):
Write an expression to represent the number of lily pads in Homer's pond. Write another expression for Henrietta's pond.
More Help (a):
Set the expressions equal to each other and solve for $h$ (hours).
Step 1 (a):
Step 2 (a):
Step 3 (a):
Subtract $30$ from both sides.
Step 4 (a):
Add $7h$ to both sides.
Step 5 (a):
Divide both sides by $2$ .
Answer (a):
$h=4$ hours
Homer: $30−5h$
Henrietta: $38−7h$
$30−5h=38−7h$
$−30−30$
$−5h=8−7h$
$+7h+7h$
$2h=8$
$h=\frac{8}{2}$
How many lily pads will be left in each pond at that time?
Hint (b):
Use the expressions you wrote in part (a).
More Help (b):
Substitute the answer for h into the expressions.
Step 1 (b):
Homer:
$30−5h$
$30−5(4)$
$10$
Step 2 (b):
Henrietta:
Repeat the process.
Answer (b):
$10$ lily pads