Sam was building a suspension bridge for the playground at an elementary school and needed some chain link and rope. He bought a total of 80 feet of materials. The chain link cost $2.00 per foot, and the rope cost $1.50 per foot. He spent a total of $135. How much of eacb did he buy?

30 feet of chain link and 50 feet of rope

Step-by-step explanation:

Let's call the amount of chain link as x and the amount of rope as y. We can write:

x + y = 80 -- Equation 1

2x + 1.5y = 135 -- Equation 2

2x + 2y = 160 -- Equation 3 (Multiply Equation 1 by 2)

0.5y = 25 (Subtract Equation 2 from Equation 3)

y = 50 (Divide by 2)

x + 50 = 80 (Substitute y = 50 into Equation 1)

x = 30 (Subtract 50)

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.