Question

(So basically, I'm doing this worksheet for Algebra 1 called "Writing Equations Packet" and I'm supposed to covert word problems into equations. However, this is confusing me and I am desperate for answers. I'm up at 11 pm to do this and I really wanna go to sleep. Please, anybody answer these as soon as possible!) Please help me convert these word problems into equations!

1. The sum of three numbers is 75. The second number is 5 more than 4 times the first, and the third is 2 times the first. Find the second number

2. If 7 less than 4 times a number is 29, find the number.

3. Jan and Jill made $58 dollars babysitting. Jan made $6 more than 3 times as much money as Jill made. How much money did Jan make?

4. Jose and Juan went running. Jose ran 2 miles less than 1/2 as many miles as Juan. Jose ran 6 miles. How many miles did Juan run?

5. Together, a dresser, a nightstand, and a vanity cost $1,605. The dresser costs 3 times as much as the nightstand, and the vanity costs $300 more than the nightstand. Find the cost of the vanity.

I'm in desperate need of answers! Please somebody, anybody turn these word problems into equations ASAP! All of my grades are due on Thursday!

Answer 1

Number 1 is

A=10

B=45

C= 20

Explanation:

Answer 2

See the step by step explanation.

Explanation:

1. Let x,y,z be your numbers. Then x+y+z=75.

Let x be the first number, y the second and z the third. Then

y = 4x+5 and z = 2x. you gotta solve for y.

2. Let x be your number, assuming less than means minus, then 7-4x = 29.

3. Let x be the amount Jan earned and y the amount Jill made. Then x+y = 58.

Also, x=6+3y. You gotta solve for x.

4. Let x be amount of miles JOse ran and y the amount of miles Juan ran. Then x = y/2 -2 and x=6. You gotta solve for y.

5. Let x be the cost of the dresser, y the cost of the nightstand and z the cost of a vanity. Then x+y+z=1605. Also x=3y and z = 300+y. You have to solve for z.