% and $ word problems using
ratio’s and math % sentences
notes
Absent
Thur/Fri 5/2,3
Shopping vocabulary and setting up ratios
Vocabulary
1. Wholesale price, regular price, original price: this means this is the
original price that an item sells for.
2. Retail price:
the new price that an item sells for or it is the original
price before a sale price is given.
3. Sale: this is a discount that comes off the original price. It is either
given in % or in a $ amount.
Finding a markup price or mark down price set up
new price - original price
Ratio set up with word problems finding %
Change between the original price and new price
original price
% sentences with word problems
What is _____ % of _____
unknown
=
change to decimal
Multiply original price
Price Mark Up Example
• Sun Diego is selling board
shorts. The wholesale price
that they got them for was
$15.50. The retail price that
they sold them for was
$28.75. What was the price
markup?
$28.75 new price
- $15.50 original price
$13.25 markup
• What is the new price of
the board shorts?
•
The retail price is the new price.
$28.75.
• What is the original price
of the board shorts?
•
The wholesale price is the original
price. $15.50.
• What do we do with the 2
different amounts?
•
$13.25 markup
Solution
We subtract them and find the
markup.
Ratio % Example
• South Coast surf shop buys
van shoes at a wholesale price
of $25. South Coast sells the
shoes for a retail price of
$41. What is the % markup
for the shoes?
$16 change
$25 original
•
The retail price is the new price.
$41.
• What is the original price
of the vans?
•
The wholesale is the original price.
$25.
• What is the change
between the 2 prices?
.64
25 16.00
-150
100
-100
0
64% markup
• What is the new price of
the vans?
•
The change is $16.
• How do we set up a ratio
using these two prices so
we can find the % markup?
Solution
•
Change in price
original price
Ratio % Example
• Bennett bought a stroller on
sale for $25. The strollers
retail price is $75. What is
the % discount of the
stroller?
$50 change
$75 original
.66
75 50.00
-450
500
-450
50
Repeating decimal round to 67%
• What is the new price of
the stroller?
•
• What is the original price
of the stroller?
•
Solution
The original price is the retail price.
$75.00.
• What is the change
between the 2 prices?
•
The change is $50.
• How do we set up a ratio
using these two prices so
we can find the % markup?
•
67% discount
The new price is the sale price. $25.
Change in price
original price
Ratio % Example
• Find the % increase.
• What is the original #?
•
8 is increased to 14.
6
8
change
original
.75
8 6.00
-56
40
-40
0
75% increase
The original # is 8.
• What is the new #?
•
The new # is 14.
• What is the change
between the 2 #’s?
•
The change is 6.
• How do we set up the ratio
to find the % increase?
•
Change in #
Solution
original #
% sentences Example
• A soccer ball originally cost
$25. Chris bought the ball on
sale for 30% off the original
price. How much $ was
deducted off the ball?
x = 30%
what is
x
% multiply
25
price
x = .30(25)
• What is the unknown in this
problem?
•
• What is the % discount?
•
$7.50 was deducted Solution
30%
• What is the original price
of the soccer ball?
•
$25
• What does the word “IS”
mean?
•
x = 7.5 or $7.50
The unknown is how much money was
taken off the soccer ball.
IS means =.
• What does the word “OF”
mean?
•
OF means multiply.