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
96 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)
Math Question: Find the missing side length in a triangle with angles 48°, 62°, and side lengths 7 and 9. (Round to two decimal places)
+
Question: What is the value of x in the quadratic equation x^2 + 5x + 6 = 0?
+
Math question: What is the limit of the product of a constant and a function as the variable approaches a certain point?
+
New questions in Mathematics
Add. 7/w²+18w+81 + 1/w²-81
Find the equation of the normal to the curve y=x²+4x-3 at point(1,2)
Kayla has $8,836.00 in her savings account. The bank gives Kayla 5%of the amount of money in account as a customer bonus. What amount of money does the bank give Kayla? Justify your answer on a 6th grade level.
The data set (75, 85, 58, 72, 70, 75) is a random sample from the normal distribution No(µ, σ). Determine a 95% two-sided confidence interval for the mean µ .
Substitute a=2 and b=-3 and c=-4 to evaluate 2ac/(-2b^2-a)
A test has 5 multiple choice questions. Each question has 4 alternatives, only one of which is correct. A student who did not study for the test randomly chooses one alternative for each question.(a) What is the probability of him getting a zero on the test?(b) What is the probability of him getting a three or more? The maximum mark for the test is 5, with each question worth one point.
Find 2 numbers whose sum is 47 and whose subtraction is 13
Lim x → 0 (2x ^ 3 - 10x ^ 7) / 5 * x ^ 3 - 4x )=2
determine the polynomial F of degree 2 that interpolates. f at points (0;1) (2;5) (4;6). calculate F(0.8). Note: Using the polynomial expression with difference operator.
6-35 A recent study by an environmental watchdog determined that the amount of contaminants in Minnesota lakes (in parts per million) it has a normal distribution with a mean of 64 ppm and variance of 17.6. Assume that 35 lakes are randomly selected and sampled. Find the probability that the sample average of the amount of contaminants is a) Greater than 72 ppm. b) Between 64 and 72 ppm. c) Exactly 64 ppm. d) Greater than 94 ppm.
With the aim of identifying the presence of the feline leukemia virus (FeLV), blood samples were collected from cats sent to a private veterinary clinic in the city of Belo Horizonte. Among the animals treated, it was possible to observe that age followed a Normal distribution with a mean of 4.44 years and a standard deviation of 1.09 years. Considering this information, determine the value of the third quartile of the ages of the animals treated at this veterinary clinic. ATTENTION: Provide the answer to exactly FOUR decimal places
Solve the equation: sin(2x) = 0.35 Where 0° ≤ x ≤ 360°. Give your answers to 1 d.p.
30y - y . y = 144
A car travels 211 miles on 15 gallons of gasoline. The best estimate of the car’s miles per gallon is?
Which statement best describes the key changes in perspectives on inclusion? An inclusive program must consider the unique experiences of every child and family as well as the child's strengths and needs. There is a shift in thinking about individual programs as "inclusive programs" to thinking about inclusion as something that reflects the cultural influence of the family. There is a greater emphasis on barriers to full participation and the acknowledgement that all children are unique and must be fully and meaningfully engaged in a program. In an inclusive program all participants are accepted by their peers and other members of the community.
The mass of 120 molecules of X2C4 is 9127.2 amu. Identify the unknown atom, X, by finding the atomic mass. The atomic mass of C is 12.01 amu/atom
Find the symmetric point to a point P = (2,-7,10) with respect to a plane containing a point Po = (3, 2, 2) and perpendicular to a vector u = [1, -3, 2].
2p-6=8+5(p+9)
Find the distance from the point (2,-1) to the line 2x-5y+10=0
Sarah is lining a square tray with 1 inch square tiles. the side length of the tray is 9 inches. How many tiles does Sarah need?