Answer:
10
Step-by-step explanation:
Answer: c: $65
Step-by-step explanation:
There are three unknowns in this problem. First, let's assign variables for these unknowns.
Let
x be the amount received by the first friend
y be the amount received by the second friend
z be the amount received by the third friend
Next, we formulate equations for the relationships
x = 4z
z = 4y
x + y + z = <span>$231,000
Solving simultaneously,
4(4y) + y + 4y = </span><span>$231,000
21y = </span><span>$231,000
y = $11,000
z = 4($11,000) = $44,000
x = 4($44,000) = $176,000</span>
Answer:12c + 30b ≤ 360
Step-by-step explanation:
Your math problem requires us to convert the word problem into math before we can solve the math. So let's try to do that first.
First, let's make a math equation to represent the amount of time.
The amount of time to bake "c" batches of cookies = (# of minutes per batch) x (# of batches) = 12 x c = 12c
Similarly for the amount of time to bake "b" batches of brownies = (# of minutes per batch) x (# of batches) = 30 x b = 30b
This is going to look like a format of:
(amount of time to bake cookies) + (amount of time to bake brownies) ≤ (total amount of time)
This person wants the (total amount of time) to be "at most 6 hours" but we can't just put "6" as our number because the other amounts of time are in "minutes".
6 hours * 60 minutes in an hour = 360 minutes
So our first equation becomes:
12c + 30b ≤ 360