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 area of a circle with radius 'r'?
+
What is the measure of an angle bisector if two of its angles measure 30° and 60°?
+
What is the sum of the measures of the interior angles of a scalene triangle?
+
New questions in Mathematics
A hotel in the Algarve had to offer 1 week of vacation to one of its employees as an Easter gift in a random choice. It is known that 80 people work in this hotel, 41 of whom are Portuguese and 39 are foreign nationals. There are 14 Portuguese men and 23 foreign women. Using what you know about conditional probability, check the probability that the gift was offered to a Portuguese citizen, knowing that it was a woman.
Two events E and F are​ ________ if the occurrence of event E in a probability experiment does not affect the probability of event F.
How long will it take for $900 to become $5000 at an annual rate of 11.15% compounded bimonthly?
What is the appropriate measurement for the weight of an African elephant?
find x in the equation 2x-4=6
v Is the following statement a biconditional? If Shannon is watching a Tigers game, then it is on television.
Three squares have a total area of 35.25 𝑐𝑚2 . The larger square has twice the side-length of the middle-sized square. The smaller square has its side length exactly 0.5 cm smaller than the middle-sixed square. Find the side lengths of each of the three squares.
3 A tree is planted when it is 1.2 m tall. Every year its growth is 3/8 of its previous year's height. Find how tall the tree will grow.
If X1 and X2 are independent standard normal variables, find P(X1^2 + X2^2 > 2.41)
Let v be the set of all ordered pairs of real numbers and consider the scalar addition and multiplication operations defined by: u+v=(x,y)+(s,t)=(x+s+1,y+t -two) au=a.(x,y)=(ax+a-1,ay-2a+2) It is known that this set with the operations defined above is a vector space. A) calculate u+v is au for u=(-2,3),v=(1,-2) and a=2 B) show that (0,0) #0 Suggestion find a vector W such that u+w=u C) who is the vector -u D) show that axiom A4 holds:-u+u=0
2x-5-x+2=5x-11
Gender and communication : Answer the question ( 1 paragraph is ok) . Please can you write about women? Compared to your other identities, how much of a role does gender play in your life? And has your own sex/gender offered you privileges or disadvantages? How so?
Write the inequality in the form of a<x<b. |x| < c^2
-6 - t / 4 = -1
the product of a 2-digit number and a 3-digit number is about 50000, what are these numbers
Emile organizes a community dance to raise funds. In addition to paying $300 to rent the room, she must rent chairs at $2 each. The quantity of chairs rented will be equal to the number of tickets sold. She sells tickets for $7 each. How much should she sell to raise money?
3(x-4)=156
2p-6=8+5(p+9)
6(k-7) -2=5
Find the rule that connects the first number to the second number of each pair. Apply the rule to find the missing number in the third pair. (18 is to 22) (54 is to 26) (9 is to ?)