Question

Annika sells 6-inch pies for $5.00 and 8-inch pies for $9.00 each. Last week she sold twice as many 6 inch pies as she did 8-inch pies. She made $133.00 from her sales. Annika defined x as the number of 6-inch pies she sold and y as the number of 8-inch pies she sold. She wrote the system below.

6x+8y=133
2x=y

Which statements about the system are true? Check all that apply.

1 Since the cost for each pie is $5 and $9, the first equation should be 5x+9y=133.

2 Since the 8-inch pies are 2 inches larger, the second equation should be x+2=y.

3 Since there are fewer 8-inch pies, the second equation should be x=2y to balance the values.

4 The first equation is correct because 6x represents the money earned for 6-inch pies and 8y represents the money earned for 8-inch pies.

5 The second equation is correct because there are more 6-inch pies and 2 times a number is always more.

Answer 1

Let x represents the 6 inch and y represents the 8 inch pies

The equation should be

5x+9y=133

Option 1 and 3 correct which states that

• Since the cost for each pie is $5 and $9, the first equation should be 5x+9y=133.
• Since there are fewer 8-inch pies, the second equation should be x=2y to balance the values.