Please help me with my homework

Question

1.) 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 that represents this situation.

  A.) x + 3y + 2z = 45

  B.) −x + 2y + 3z = 45

  C.) x + 3y − 2z = 45

  D.) x + 3y + 2z = −45

hi please solve and explain

Answer 1

A) is the formula.

x=bananna

y=mangola

z=apple

Answer 2

Hi Daniel,

the answer is A.

x,y, and z represent the number of pounds of each fruit. If you bought x pounds of bananas at $1 per pound the total amount you would spend on bananas is $1*x =x

similarly if you bought y pounds of mangoes at $3 per pound the total amount you would spend on mangoes is $3*y= 3y

and likewise for apples it would be 2z

total cost of all three fruits is $45

So you have to add all three costs and equate it to 45.