Answer:
See explanation
Step-by-step explanation:
Here is the complete question:
Benjamin decides to treat himself to breakfast at his favorite restaurant. He orders chocolate milk that costs $3.25. Then, he wants to buy as many pancakes as he can, but he wants his bill to be at most $30 before tax. The restaurant only sells pancakes in stacks of 4 pancakes for $5.50 . Let S represent the number of stacks of pancakes that Benjamin buys. What is the largest number of pancakes that Benjamin can afford?
Given:
Cost of chocolate milk = $3.25
Maximum bill that Benjamin wants before tax = $30
Cost of stack of 4 pancakes = $5.50
Let S be the number of stacks of pancakes that Benjamin buys
Solution:
Cost per stack of pancakes = $5.50
Cost of S number of stacks of pancakes = S*5.50 = 5.50 S
So benjamin will spend money on 1 chocolate milk and S number of stacks of pancakes
Compute the total money spent by Benjamin:
Cost of chocolate milk + cost per stack of pancakes = 3.25 + 5.50 S
Maximum bill that Benjamin wants is $30 So,
The total money should be less than equal to the maximum bill that benjamin wants i.e. less than or equal to 30. So it is represented as:
3.25 + 5.50S ≤ 30 ----- (1)
Now using (1) we can find the largest number of pancakes that Benjamin can afford :
3.25 + 5.50S ≤ 30
5.50S ≤ 30 - 3.25
subtract 3.25 from 30
5.50S ≤ 26.75
Divide by 5.50
S ≤ 4.863636
S ≤ 4.86
S≤ 4 approx
Since the restaurant only sells pancakes in stacks of 4 pancakes so,
4 stacks = 4 *4 = 16
So the largest number of pancakes that Benjamin can afford are 16.
If we do not round off the the value stacks then we get:
4.86 stacks = 4.86 *4 = 19.44 pancakes
So the largest number of pancakes that Benjamin can afford are 19
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