Question

1. The length of a picture frame is 3 in. greater than the width.The perimeter is
less than 52 in. Describe the dimensions of the frame.

2. the length of the sides of a triangle are in the ratio 5:6:7. Describe the length of the longest side if the perimeter is less than 54cm.

3. The cost of a field trip is $220 plus $7 per student. If the school can spend at most $500 how many students can go?

Answer 1

W= x
L= x+3
Perimeter is 2l +2w
Fill in the blanks.

Answer 2

3) 40.
There is no way to give definite answer for 1 and 2. For example, in 2nd question, the longest side can be 7 or 14 and in 1st question, the dimensions can be anything from 8 to 50

Answer 3

5x+6x+7x<54
You solve for x. Then look at the ratio. You can describe the longest length from that

Answer 4

3. Your fixed cost is $220. The variable cost is $7 times the # of students.
7x+ 220 is less than or equal to 500.
After you solve for x, you'll know how many students can go. Remember to drop any decimal. You can't take part of a student.

Answer 5

1. 2x + 2x+6< 54
X<12.
The dimensions are any combination of width less than 12 & length less than 15

Answer 6

2. Same thing. The three sides can be less than 15,18,&,21 because x is < 3. The sides could be any positive number less than x=3. The multiplication ratio still stays the same.

Answer 7

3. So the school an take up to 40 students. Right.