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 volume of a rectangular prism with length 5 ft, width 3 ft, and height 4 ft?
+
Math question: Find the limit as x approaches 0 of (1 - cos(x))^2 / x^2 using L'Hospital's Rule.
+
What is the value of the limit of (x^2 + 3) / (x + 1) as x approaches 2?
+
New questions in Mathematics
12-6x=4x+2
String x = 5 Int y=2 System.out.println(x+y)
I) Find the directional derivative of 𝑓(π‘₯, 𝑦) = π‘₯ sin 𝑦 at (1,0) in the direction of the unit vector that make an angle of πœ‹/4 with positive π‘₯-axis.
If L = (-2, -5) is reflected across y= -4 , what are the coordinates of L?
3x+5y=11 2x-3y=1
Derivative of x squared
7/6-(-1/9)
Mrs. Emily saved RM10000 in a bank. At the end of the eighth year, the amount of money accumulated amounted to RM19992.71. If the bank pays an annual interest of x% for a year compounded every 6 months. Calculate the value of x.
logy/logx + logz/logy + logt/logz = 8xΒ².t x=?
Determine the reduced equation of the straight line that is perpendicular to the straight line r: y=4x-10 and passes through the origin of the Cartesian plane
7. Find the equation of the line passing through the points (βˆ’4,βˆ’2) π‘Žπ‘›π‘‘ (3,6), give the equation in the form π‘Žπ‘₯+𝑏𝑦+𝑐=0, where π‘Ž,𝑏,𝑐 are whole numbers and π‘Ž>0.
The physician orders 15mg of tramadol(liquid). On hand is 30mg/2mL vials. How many mL will the MA administer?
Is -11/8 greater than or less than -1.37?
Let A, B, C and D be sets such that | A| = |C| and |B| = |D|. Prove that |A Γ— B| = |C Γ— D|
Two minus log 3X equals log (X over 12)
A property sold for $745,000 in a co-brokered transaction. The seller has agreed to pay a 7% commission to the listing firm. The listing firm has agreed to equally split the commission with the selling firm. If the buyer’s broker will receive 8% of the selling firm’s commission, how much commission will the buyer’s broker receive? $14,900 $3725 $$37250 $18625
A factory produces glass for windows. The thickness X of an arbitrarily selected pane of glass is assumed to be Normally distributed with expectation ΞΌ = 4.10 and standard deviation Οƒ = 0.04. Expectation and Standard deviation is measured in millimeters. What is the probability that an arbitrary route has a thickness less than 4.00 mm?
Let G be the center of gravity of triangle ABC. We draw through A a parallel to BC on which we take a point D so that DGβŠ₯BG. If the area of the quadrilateral AGBD is equal to s, show that ACΒ·BDβ‰₯2Β·s.
Write the inequality in the form of a<x<b. |x| < c^2
A group of 17 people spent 9 days on vacation and spent R$776.34 on barbecue meat and the bill needs to be divided as follows: 6 people stayed for 9 days, 7 people stayed for 4 days, and 2 people stayed for 5 days and 2 people stayed 3 days, how much does each group have to pay for the days they stayed?