# simultaneous equations

### The length of a rectangle is 6 less than twice the width. If the perimeter is 60 inches, what are th

The length of a rectangle is 6 less than twice the width. If the perimeter is 60 inches, what are the dimensions? Set up 2 equations given P = 2l...
Thread by: math_celebrity, Jan 21, 2024, 0 replies, in forum: Calculator Requests

### The length of a rectangle is three times its width.If the perimeter is 80 feet, what are the dimensi

The length of a rectangle is three times its width.If the perimeter is 80 feet, what are the dimensions? We're given 2 equations: l = 3w P = 80...
Thread by: math_celebrity, Jan 21, 2024, 0 replies, in forum: Calculator Requests

### The sum of two numbers is 231. The larger is twice the smaller. What are the numbers?

Let x be the larger number. Let y be the smaller number. We're given two equations: x + y = 231 x = 2y Substitute (2) into (1) for x: 2y + y =...
Thread by: math_celebrity, Jan 20, 2024, 0 replies, in forum: Calculator Requests

### There are 812 students in a school. There are 36 more girls than boys. How many girls are there?

There are 812 students in a school. There are 36 more girls than boys. How many girls are there? Let b be boys Let g be girls We're given two...
Thread by: math_celebrity, Jan 12, 2024, 0 replies, in forum: Calculator Requests

### If the cost of a bat and a baseball combined is \$1.10 and the bat cost \$1.00 more than the ball how

Let a be the cost of the ball and b be the cost of the bat: We're given 2 equations: a + b = 1.10 b = a + 1 Substitute equation (2) into...
Thread by: math_celebrity, Dec 18, 2023, 0 replies, in forum: Calculator Requests

### The difference between two numbers is 96. One number is 9 times the other. What are the numbers?

The difference between two numbers is 96. One number is 9 times the other. What are the numbers? Let x be the first number Let y be the second...
Thread by: math_celebrity, Feb 7, 2023, 0 replies, in forum: Calculator Requests

### A dog and a cat together cost \$100. If the price of the dogs \$90 more than the cat, what is the cost

A dog and a cat together cost \$100. If the price of the dogs \$90 more than the cat, what is the cost of the cat? Set up givens and equations Let...
Thread by: math_celebrity, Feb 6, 2023, 0 replies, in forum: Calculator Requests

### Jason has an equal number of nickels and dimes. The total value of his nickels and dimes is \$2.25. H

Jason has an equal number of nickels and dimes. The total value of his nickels and dimes is \$2.25. How many nickels does Jason have? Let the...
Thread by: math_celebrity, Jan 16, 2023, 0 replies, in forum: Calculator Requests

### Luke and Dan's total debt is \$72. If Luke's debt is three times Dan's debt, what is Dan's debt?

Luke and Dan's total debt is \$72. If Luke's debt is three times Dan's debt, what is Dan's debt? Let Dan's debt be d. Let Luke's debt be l....
Thread by: math_celebrity, Jan 16, 2023, 0 replies, in forum: Calculator Requests

### The price of a cheap backpack is \$15 less than an expensive backpack. When Emily bought both, she pa

The price of a cheap backpack is \$15 less than an expensive backpack. When Emily bought both, she paid \$75. What is the cost of the cheap...
Thread by: math_celebrity, Jan 14, 2023, 0 replies, in forum: Calculator Requests

### Jane is twice a old as Joel. If their ages total 63, how old is Joel?

Jane is twice a old as Joel. If their ages total 63, how old is Joel? Joel = j Jane = 2j j + 2j = 63 3j = 63 Divide each side by 3: 3j/3 = 63/j...
Thread by: math_celebrity, Jan 14, 2023, 0 replies, in forum: Calculator Requests

### Stanley bought a ruler and a yardstick for \$1.25. If the yardstick cost 45 cents more than the ruler

Stanley bought a ruler and a yardstick for \$1.25. If the yardstick cost 45 cents more than the ruler, what was the cost of the yardstick? Let r...
Thread by: math_celebrity, Jan 14, 2023, 0 replies, in forum: Calculator Requests

### Laura weighs 45 pounds more than her pet dog. When they are on the scale together, they weigh 85 pou

Laura weighs 45 pounds more than her pet dog. When they are on the scale together, they weigh 85 pounds. How much does Laura weigh? Let Laura...
Thread by: math_celebrity, Jan 14, 2023, 0 replies, in forum: Calculator Requests

### two numbers have an average of 2100 and one number is \$425 more than the other number. What are the

two numbers have an average of 2100 and one number is \$425 more than the other number. What are the numbers Let the first number be x and the...
Thread by: math_celebrity, Nov 3, 2022, 0 replies, in forum: Calculator Requests

### A 100 point test contains a total of 20 questions. The multiple choice questions are worth 3 points

A 100 point test contains a total of 20 questions. The multiple choice questions are worth 3 points each and short response questions are worth 8...
Thread by: math_celebrity, Jan 26, 2022, 0 replies, in forum: Calculator Requests

### Length (l) is the same as width (w) and their product is 64.

Length (l) is the same as width (w) and their product is 64. We're given 2 equations: lw = 64 l = w Substitute equation (2) into equation (1):...
Thread by: math_celebrity, Jan 7, 2022, 0 replies, in forum: Calculator Requests

### 2 baseball players hit 60 home runs combined last season. The first player hit 3 more home runs than

2 baseball players hit 60 home runs combined last season. The first player hit 3 more home runs than twice a number of home runs the second player...
Thread by: math_celebrity, Nov 18, 2021, 0 replies, in forum: Calculator Requests

### Kiko is now 6 times as old as his sister. In 6 years, he will be 3 times as old as his sister. What

Kiko is now 6 times as old as his sister. In 6 years, he will be 3 times as old as his sister. What is their present age? Let k be Kiko's present...
Thread by: math_celebrity, Nov 13, 2021, 0 replies, in forum: Calculator Requests