Answer:
She is buying 7 bottles and 15 canvases of paint
Step-by-step explanation:
* <em>Lets change the story problem to equations and solve them</em>
- 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
* <em>Lets write an equation represented these information</em>
∵ 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
