Question

Kathie spent $45 on a fruit salad. She bought bananas, mangoes, and apples. Bananas cost $1 per pound,mangoes cost $3 per pound, and apples cost $2 per pound. Identify the linear equation in three variables thatrepresents this situation. A. -x+2y+3z=45 B. x+3y+2z=-45C. x+3y-2z=45 D. x+3y+2z=45

Answer 1

To set a linear equation we have to identify the variables:

Let x be the number of bananas, y the number of mangoes, and z the number of apples.

Second, we find which constant multiplies which variable, in this case, the constants are the prices of each fruit:

x*1, y*3, and z*2.

Finally, we set the sum of the variables times the constants to another constant.

Answer: Option D.

$x+3y+2z=45.$