Find 2 numbers that the sum of 1/3 of the first plus 1/5 of the second will be equal to 13 and that if you multiply the first by 5 and the second by 7 you get 247 as the sum of the two products with replacement solution

Name: Solved: Find 2 numbers that the sum of 1/3 of the first plus 1/5 of the second will be equal to 13 and that if you multiply the first by 5 and the second by 7 you get 247 as the sum of the two products with replacement solution - MathMaster
Brand: MathMaster
Rating: 4.9 (59 reviews)

likes

296 views

Answer to a math question Find 2 numbers that the sum of 1/3 of the first plus 1/5 of the second will be equal to 13 and that if you multiply the first by 5 and the second by 7 you get 247 as the sum of the two products with replacement solution

$Expert avatar$

Miles

4.9

114 Answers

Let's set up a system of equations to find the two numbers. Let the first number be "x," and the second number be "y." From the first statement, we have: (1/3)x + (1/5)y = 13 From the second statement, we have: 5x + 7y = 247 Now, we can solve this system of equations. First, we can eliminate fractions by multiplying both sides of the first equation by the least common multiple (LCM) of 3 and 5, which is 15: (15 * (1/3))x + (15 * (1/5))y = 15 * 13 5x + 3y = 195 Now, we have the system of equations: 5x + 3y = 195 5x + 7y = 247 Subtract the first equation from the second equation to eliminate "x": (5x + 7y) - (5x + 3y) = 247 - 195 (5x - 5x) + (7y - 3y) = 52 4y = 52 Now, solve for "y": y = 52 / 4 y = 13 Now that we have the value of "y," we can substitute it back into one of the original equations. Let's use the second equation: 5x + 7y = 247 5x + 7(13) = 247 5x + 91 = 247 Subtract 91 from both sides: 5x = 247 - 91 5x = 156 Now, solve for "x": x = 156 / 5 x = 31.2 So, the two numbers that satisfy the conditions are x = 31.2 and y = 13.

Frequently asked questions (FAQs)

What is the limit as x approaches 3 of (2x^2 - 5x + 3)/(x - 3)?

Math question: Simplify √48 + √75 - √27

What is the average of 8, 12, 18, 24, 30?

New questions in Mathematics

A normally distributed population has a mean of 118 with a standard deviation of 18. What score separates the lowest 72% of the distribution from the rest of the scores?

What is the coefficient of elasticity of the material that must be placed on the heel of the 10 cm high clog, with a base area of 2 cm² so that it deforms only 2 cm when the force on it will be a maximum of 600 N.

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.

Determine the absolute extrema of the function 𝑓(𝑥)=𝑥3−18𝑥2 96𝑥 , on the interval [1,10]

6. Among 100 of products there are 20 rejects. We will randomly select 10 of products. The random variable X indicates the number of rejects among the selected products. Determine its distribution.

4x567

(2x+5)^3+(x-3)(x+3)