Problem Breakdown and Solutions:
####
Problem b:
Question: Boris Burgermeister buys the ingredients for each of his hamburgers for $0.80. He marks them up by 230%. What is the sale price of Burgermeister's burgers?
Solution:
1.
Understand the markup percentage: A 230% markup means that the selling price is 230% more than the cost price.
2.
Formula for sale price with markup:
\[
\text{Sale Price} = \text{Cost Price} + (\text{Markup Percentage} \times \text{Cost Price})
\]
Here, the markup percentage is 230%, which can be written as 2.30 (in decimal form).
3.
Substitute the values:
\[
\text{Sale Price} = 0.80 + (2.30 \times 0.80)
\]
4.
Calculate the markup amount:
\[
2.30 \times 0.80 = 1.84
\]
5.
Add the markup to the cost price:
\[
\text{Sale Price} = 0.80 + 1.84 = 2.64
\]
Final Answer:
\[
\boxed{2.64}
\]
---
####
Problem c:
Question: Mary wants to buy a doghouse for her dog, Winston. Petter Popper Puppies have their doghouses for $200 and mark them up by 85%. Gail Castillo Crafts buys identical houses for $180 and marks them up by 85%. Where should Mary buy Winston's house?
Solution:
1.
Understand the markup percentage: An 85% markup means that the selling price is 85% more than the cost price.
2.
Formula for sale price with markup:
\[
\text{Sale Price} = \text{Cost Price} + (\text{Markup Percentage} \times \text{Cost Price})
\]
Here, the markup percentage is 85%, which can be written as 0.85 (in decimal form).
3.
Calculate the sale price for Petter Popper Puppies:
- Cost Price = $200
- Markup Amount = \( 0.85 \times 200 = 170 \)
- Sale Price = \( 200 + 170 = 370 \)
4.
Calculate the sale price for Gail Castillo Crafts:
- Cost Price = $180
- Markup Amount = \( 0.85 \times 180 = 153 \)
- Sale Price = \( 180 + 153 = 333 \)
5.
Compare the sale prices:
- Petter Popper Puppies: $370
- Gail Castillo Crafts: $333
Since $333 is less than $370, Mary should buy the doghouse from Gail Castillo Crafts.
Final Answer:
\[
\boxed{\text{Gail Castillo Crafts}}
\]
---
####
Problem d:
Question: Willy’s Watch Shop buys a watch for $25 and then marks it up by 180%. Tonya’s Time Pieces normally sells an identical watch for $75 but is now selling it at a 20% discount. Which store has the BEST DEAL?
Solution:
1.
Calculate the sale price for Willy’s Watch Shop:
- Cost Price = $25
- Markup Percentage = 180%, which is 1.80 in decimal form.
- Markup Amount = \( 1.80 \times 25 = 45 \)
- Sale Price = \( 25 + 45 = 70 \)
2.
Calculate the sale price for Tonya’s Time Pieces:
- Original Price = $75
- Discount Percentage = 20%, which is 0.20 in decimal form.
- Discount Amount = \( 0.20 \times 75 = 15 \)
- Sale Price = \( 75 - 15 = 60 \)
3.
Compare the sale prices:
- Willy’s Watch Shop: $70
- Tonya’s Time Pieces: $60
Since $60 is less than $70, Tonya’s Time Pieces has the best deal.
Final Answer:
\[
\boxed{\text{Tonya's Time Pieces}}
\]
---
Final Answers:
-
b: \(\boxed{2.64}\)
-
c: \(\boxed{\text{Gail Castillo Crafts}}\)
-
d: \(\boxed{\text{Tonya's Time Pieces}}\)
Parent Tip: Review the logic above to help your child master the concept of markup and discount math problems.