Question
(a). Kisiwaa puts
of her salary in savings and uses
of the remaining money to pay back her
sister. If the amount left is GHC
, how much did she have as salary?
(b). A dance academy charges GHC 20.00 to use the facility and GHC 25 per hour of instruction.
(i) Write an equation that gives the total cost to learn at the dance academy as a function of
hours of instruction.
(ii) Find the total cost of 2 hours of dance instruction.
Find the perimeter and area of the shape below.
©.
sister. If the amount left is GHC
(b). A dance academy charges GHC 20.00 to use the facility and GHC 25 per hour of instruction.
(i) Write an equation that gives the total cost to learn at the dance academy as a function of
hours of instruction.
(ii) Find the total cost of 2 hours of dance instruction.
Find the perimeter and area of the shape below.
©.
Ask by Herrera Schneider. in Ghana
Jan 29,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Problem (a):
Kisiwaa’s total salary is GHC 6,400.00.
Kisiwaa’s total salary is GHC 6,400.00.
Problem (b):
- (i) Total cost equation:
- (ii) Cost for 2 hours: GHC 70.00
Problem ©:
Cannot determine the perimeter and area without information about the shape. Please provide details or an illustration.
Cannot determine the perimeter and area without information about the shape. Please provide details or an illustration.
Solution
Sure, let’s tackle each part of your question step by step.
Problem (a)
Kisiwaa puts
of her salary in savings and uses
of the remaining money to pay back her sister. The amount left is GHC
. We need to find her total salary.
Solution:
-
Let’s denote Kisiwaa’s total salary as
. -
Savings:
- She saves
of her salary.
- She saves
-
Remaining after Savings:
-
Paying Back Her Sister:
- She uses
of the remaining amount to pay back her sister.
- She uses
-
Amount Left:
- After paying back, the amount she has left is GHC
.
- After paying back, the amount she has left is GHC
-
Solving for
:
Answer:
Kisiwaa’s total salary is GHC 6,400.00.
Problem (b)
A dance academy charges GHC 20.00 to use the facility and GHC 25 per hour of instruction.
(i) Write an equation that gives the total cost to learn at the dance academy as a function of hours of instruction.
Solution:
Let
represent the number of hours of instruction.
- Fixed Cost (Facility Use): GHC 20.00
- Variable Cost (Per Hour Instruction): GHC 25 per hour
The total cost
can be expressed as:
Answer:
where
is the total cost and
is the number of hours of instruction.
(ii) Find the total cost of 2 hours of dance instruction.
Solution:
Using the equation from part (i):
Plug in
:
Answer:
The total cost for 2 hours of dance instruction is GHC 70.00.
Problem ©
Find the perimeter and area of the shape below.
Unfortunately, I can’t see the shape you’re referring to. To help you calculate the perimeter and area, please provide a description of the shape, including its type (e.g., rectangle, triangle, circle) and relevant measurements (e.g., lengths of sides, radius, etc.).
If you provide more details or an illustration of Problem ©, I’d be happy to assist you further!
Answered by UpStudy AI and reviewed by a Professional Tutor
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Beyond the Answer
Kisiwaa’s salary puzzle is a classic example of problem-solving with fractions! To find her salary, let’s denote her salary as
. After saving
, she has
left. If she pays back her sister
of this remaining amount, she uses
. After these transactions, she’s left with GHC
, leading to the equation
. Solving this gives her salary as GHC
.
At the dance academy, the total cost can be calculated easily! If you use
to represent hours of instruction, the total cost
can be expressed as:
For 2 hours of dance instruction, plug in
:
So, the total cost for 2 hours is GHC 70.00 — time to dance!