Question

A teacher is buying supplies for an upcoming art project. She buys x bottles of paint for $1.29 each. She buys 8 more canvases than bottles of
paint for $1.89 each. Her total pretax cost is $37.38. How many of each item is she buying?​

Answer 1

Answer:

She is buying 7 bottles and 15 canvases of paint

Step-by-step explanation:

* Lets change the story problem to equations and solve them

- The teacher buys x bottles of paint for $1.29 each

- She buys 8 more canvases than bottles of  paint for $1.89 each

- Her total pretax cost is $37.38

* Lets write an equation represented these information

∵ x is the number of the bottles of paint

∵ She buys 8 more canvases than bottles

∴ The number of canvases of paint = x + 8

∵ Her total pretax is $37.38

∵ The cost of a bottle of paint is $1.29

∵ The cost of a canvas of paint is $1.89

∴ 1.29(x) + 1.89(x + 8) = 37.38

- Simplify the equation

∴ 1.29 x + 1.89 x + 15.12 = 37.38

∴ 3.18 x + 15.12 = 37.38

- Subtract 15.12 from both sides

∴ 3.18 x = 22.26

- Divide both sides by 3.18

∴ x = 7

∵ x represents the number of bottles

∴ The number of bottles of paint is 7

∵ x + 8 represents the number of canvases

∴ The number of canvases = 7 + 8 = 15

∴ The number of canvases of paint is 15

∴ She is buying 7 bottles and 15 canvases of paint