Lesson 2: Equation word problems

Super Yoga offers a basic plan of $20 per month and an additional $8 per session. They also offer a trial plan of $12 per session. Make 2 equations representing these trials, with c being the number of sessions per month and s being the total monthly cost

Basic plan: c = 12s

Trial plan: c = 20 + 8s

Marcia opened up a new computer store. She sells $27 for every computer, and are monthly expenses are $10,000. What’s the minimum number of computers she needs to sell to make a profit? Write an equation

Profit = 27x - 10,000

Marcia opened up a new computer store. She sells $27 for every computer, and are monthly expenses are $10,000. What’s the minimum number of computers she needs to sell to make a profit? Write an equation and solve it

Plug in 0 to break even in the equation (no gain, no loss). 0 = 27x - 10,000. x = 371 (rounded up)

The perimeter of Tina’s garden is 60 ft. If the length of the garden is twice the width, what are the dimensions of the garden? Write an equation for the perimeter

P = 6w

The perimeter of Tina’s garden is 60 ft. If the length of the garden is twice the width, what are the dimensions of the garden?

p = 20 and w = 10

MacDonald had a farm with a certain number of orange trees. He cut down 5 trees to control the insects. Each of the remaining trees produced 210 oranges, with a total harvest of 41,790 oranges. How many trees were there initially? Write an equation with t being the number of initial trees

210 (t - 5) = 41,790

MacDonald had a farm with a certain number of orange trees. He cut down 5 trees to control the insects. Each of the remaining trees produced 210 oranges, with a total harvest of 41,790 oranges. How many trees were there initially? Write an equation with t being the number of initial trees, and solve it

t = 204 (204 trees initially)

John read the first 114 pages of a novel, which was 3 pages less than 1/3 of the novel. Write an equation to determine the total number of pages (p) in the novel.

1/3p - 3 = 114

John read the first 114 pages of a novel, which was 3 pages less than 1/3 of the novel. Write an equation to determine the total number of pages (p) in the novel, and solve how many total pages there are

p = 351

Floyd is an aspiring music artist. He has a record contract that pays him a base rate of $200 a month and an additional $12 for each album that he sells. Last month he earned a total of $644. Write an equation to see how many albums he sold

644 = 200 + 12x

Floyd is an aspiring music artist. He has a record contract that pays him a base rate of $200 a month and an additional $12 for each album that he sells. Last month he earned a total of $644, Write an equation to see how many albums he sold and solve

x = 37. 37 albums