MathMaster logo

MathMaster

  1. Home
  2. general
  3. c the sum of two numbers is 200 dividing the first by 12 and the second by 10 the sum of these quotients is 18 what are th
Question

c) The sum of two numbers is 200. Dividing the first by 12 and the second by 10, the sum of these quotients is 18. What are the numbers?

211

likes
1057 views

Answer to a math question c) The sum of two numbers is 200. Dividing the first by 12 and the second by 10, the sum of these quotients is 18. What are the numbers?

Expert avatar
Tiffany
4.5
103 Answers
x + y = 200
\frac{x}{12} + \frac{y}{10} = 18

To solve:
1. Solve for \( y \) from the first equation and substitute in the second:
y = 200 - x
\frac{x}{12} + \frac{200 - x}{10} = 18

2. Clear the denominators by multiplying through by 60:
5x + 6(200 - x) = 1080
5x + 1200 - 6x = 1080
-x + 1200 = 1080

3. Solve for \( x \):
-x = 1080 - 1200
-x = -120
x = 120

4. Find \( y \):
y = 200 - x
y = 200 - 120
y = 80

Hence, the numbers are:
x = 120, \quad y = 80

Frequently asked questions (FAQs)
Math question: Evaluate the limit as x approaches 2 of (3x^2 - 5x + 2)/((x - 2)^2).
+
What is the dot product between vector A = (3, -5) and vector B = (2, 4)?
+
What is the relationship between the measures of the angles in an equilateral triangle?
+
New questions in Mathematics
𝑦 = ( 𝑥2 − 3) (𝑥3 + 2 𝑥 + 1)
The derivative of a power is obtained just by subtracting 1 from the power True or false
58+861-87
x/20*100
Let I ⊂ R be a bounded and nonempty interval. Show that there are numbers a, b ∈ R with a ≤ b and I =[a,b] or I =[a,b) or I =(a,b] or I =(a,b)
calculate the normal vector of line y = -0.75x + 3
A company that manufactures personal hygiene items purchases machinery for $220,000 that is considered to last 7 years; it is estimated that at the end of the period it will have a salvage value of $1000. Find: to. The depreciation rate. b. The book value at the end of the sixth year.
If 0101, what is the binary representation of the 4x16 decoder output?
sin 30
1. A capital of $3,831 was lent, and it has produced interest of $840 from 05-12-2022 to 1-12-2023. At what annual simple interest rate was the capital lent?
A teacher has 25 red and yellow counters altogether. She has 4 times as many red counters than yellow counters. How many yellow counters does the teacher have?
392929-9
Derivative of 2x
A loan is repaid with payments of $2226 made at the end of each month for 12 years. If interest on the loan is 5.2%, compounded semi-annually, what is the initial value of the loan? Enter to the nearest cent (two decimals). Do not use $ signs or commas.
8/9 divided by 10/6
An election ballot asks voters to select three city judges from a group of 12 candidates. How many ways can this be done?
The slope of the tangent line to the curve f(x)=4tan x at the point (π/4,4)
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].
A rectangular swimming pool has a length of 14 feet, a width of 26 feet and a depth of 5 feet. Round answers to the nearest hundredth as needed. (a) How many cubic feet of water can the pool hold? cubic feet (b) The manufacturer suggests filling the pool to 95% capacity. How many cubic feet of water is this? cubic feet
x(squared) -8x=0

You might be interested in