Question

a charity group collected $6750 worth of donations on Saturday, Sunday and Monday. They collected $1251 less on Saturday than on Sunday. The amount collected on Sunday was 4 times the amount collected on Monday. What was the amount collected on Sunday?

133

likes
663 views

Answer to a math question a charity group collected $6750 worth of donations on Saturday, Sunday and Monday. They collected $1251 less on Saturday than on Sunday. The amount collected on Sunday was 4 times the amount collected on Monday. What was the amount collected on Sunday?

Expert avatar
Jett
4.7
97 Answers
Let's denote the amount collected on Saturday as $x, the amount collected on Sunday as $y, and the amount collected on Monday as $z.

According to the given information, we have the following equations:

1) The sum of the amounts collected on each day is $6750:
x + y + z = 6750

2) The amount collected on Saturday is $1251 less than the amount collected on Sunday:
x = y - 1251

3) The amount collected on Sunday is 4 times the amount collected on Monday:
y = 4z

To find the amount collected on Sunday, we need to solve this system of equations.

From equation 3), we can substitute y with 4z in equation 2):

x = 4z - 1251

Now, we can substitute x and y in equation 1) with their respective values:

(4z - 1251) + y + z = 6750

Combining like terms:

5z - 1251 + 4z = 6750

9z - 1251 = 6750

9z = 8001

Dividing both sides by 9:

z = 889

Substituting z back into equation 3), we can find y:

y = 4 * 889

y = 3556

Therefore, the amount collected on Sunday was $3556.

\textbf{Answer: The amount collected on Sunday was $3556.}

Frequently asked questions (FAQs)
What is the length of the hypotenuse of a right triangle with one leg measuring 5 units and the other measuring 12 units?
+
What is the product of the conjugate of (3 + 2i) multiplied by the absolute value of (-4 - 5i)?
+
What are the solutions of the equation x^3 - 6x^2 + 11x - 6 = 0?
+
New questions in Mathematics
a runner wants to build endurance by running 9 mph for 20 min. How far will the runner travel in that time period?
P is a polynomial defined by P(x) = 4x^3 - 11Γ—^2 - 6x + 9. Two factors are (x - 3) and (x + 1). Rewrite the expression for P as the product of linear factors.
Consider numbers from 1 to 2023. We delete 3 consecutive numbers so, that the avarage of the left numbers is a whole number
Solve the math problem 400 students are asked if they live in an apartment and have a pet: Apartment: 120 Both: 30 Pet: 90 The probability that a randomly selected student not living in an apartment has a pet is
Suppose the horses in a large stable, have a mean weight of a 807 pounds and a variance of 5776. What is the probability that the mean weight of the sample of horses with differ from the population mean by greater than 18 pounds is 41 horses are sampled at random from the stable round your answer to four decimal places.
-27=-7u 5(u-3)
You mix a powder drug with a 4.5ml of liquid to get a reconstituted solution with a concentration of 250mg/ml. The prescribers order is for 500 mg . You will give what ml of the reconstituted solution
Find all real numbers x that satisfy the equation \sqrt{x^2-2}=\sqrt{3-x}
Let A, B, C and D be sets such that | A| = |C| and |B| = |D|. Prove that |A Γ— B| = |C Γ— D|
The sick-leave time of employees in a firm in a month is normally with a mean of 100 hours and a standard deviation of 20 hours. Find the probability that the sick-leave time of an employee in a month exceeds 130 hours.
On+January+10+2023+the+CONSTRUCTORA+DEL+ORIENTE+SAC+company+acquires+land+to+develop+a+real estate+project%2C+which+prev%C3% A9+enable+50+lots+for+commercial+use+valued+in+S%2F+50%2C000.00+each+one%2C+the+company+has+as+a+business+model+generate+ cash+flow+through%C3%A9s+of+the+rental%2C+so+47%2C+of+the+50+enabled+lots+are+planned to lease+47%2C+and+ the+rest+will be%C3%A1n+used+by+the+company+for+management%C3%B3n+and+land+control
Let f and g be defined in R and suppose that there exists M > 0 such that |f(x) βˆ’ f(p)| ≀ M|g(x) βˆ’ g(p)|, for all x. Prove that if g is continuous in p, then f will also be continuous in p.
Find the zero of the linear function 8x + 24 = 0
Solve for B write your answer as a fraction or as a whole number. B-1/7=4
Calculate NPV, IRR and PAYBACK through a cash flow for a period of five years, with discount rate of: a) 10% b) 12% c) 15% initial annual cost $41,400,000
1. The cost to transport 250 packages of cement 120 kilometers is $600. What will be the cost to transport 500 packages 300 kilometers?
Convert (324)𝑓𝑖𝑣𝑒 into base-ten
Mark is gluing a ribbon around the sides of a picture frame. The frame is 11 inches long and 7 includes wide. How much ribbon does Mark need?
Let f(x)=-1/2x+5 evaluate f(-6)
A gas is leaking at 3.5ft3/min in a room of 2.9m by 6.9ft by 15.7m. How long would it take (in seconds) for 22% of the room to reach the LFL, if the gas has a LFL of 2.51%?