let x be the amount of apples she bought and y be the amout of pears she bought.

Question

catherine bought apples and pears for a school picnic. the total amount of pieces of fruit that she bought was less than 100. she bought more apples than pears. write a system of inequalities that describes the situation. let x be the amount of apples she bought and y be the amount of pears she bought.

Answer 1

"let x be the amount of apples she bought"   means Let x = amount of apples

"let. . . y be the amount of pears she bought"   means  Let y = amount of pears

 

"Catherine bought apples and pears for a school picnic. the total amount of pieces of fruit that she bought was less than 100"     means     x + y < 100

"she bought more apples than pears"    means    x > y

 

"write a system of inequalities that describes the situation"    means:

     Let x = amount of apples

     Let y = amount of pears

     x + y < 100

     x > y

 

Note:  A "system of inequalities" (or "a system of equations") means multiple inequalities (or equations) that have a solution (or solutions).  A "solution" is simply a point (with a value for x and a value for y) that makes all the inequalities (or equations) true.

Answer 2

x + y < 100

x > y