Question

in a bakery, glazed donuts cost $0.80 and chocolate iced custard filled cost $1.05. You want to spend exactly $11.10. write an linear equation in standard form that models this situation.

Answer 1

A linear equation to represent the purchase of glazed donuts at $0.80 each and chocolate iced custard filled donuts at $1.05 each to spend exactly $11.10 is 80x + 105y = 1110 in standard form.

Step-by-step explanation:

To write a linear equation that models the situation where glazed donuts cost $0.80 and chocolate iced custard filled donuts cost $1.05, and you want to spend exactly $11.10, we need to let x represent the number of glazed donuts and y represent the number of chocolate iced custard filled donuts. The total cost is made up of the cost of x glazed donuts plus the cost of y chocolate donuts, which should equal $11.10. The equation will be in the form of 0.80x + 1.05y = 11.10.

First, we need to multiply each term by 100 to get rid of the decimals:

80x + 105y = 1110

This is our equation in standard form, which is Ax + By = C, where A, B, and C are integers. In this case, A=80, B=105, and C=1110.