Real-Life Math -- Solution
First you'll need to calculate how much of each product is
required.
The Joists
The house is 96 feet long and
the joists are 16 inches apart. To determine how many lengths of joists are
needed, you must divide 96 feet by 16 inches. The easiest way is to convert
the feet into inches:
96 feet x 12 inches per foot = 1,152 inches
Now
you can divide the length of the house by 16:
1,152 /
16 = 72
You'll need 72 joists plus one for the end
for the house for a total of 73.
Each joist costs $1.25 per linear
foot, so now you need to figure out how many feet of joists you have.
To
figure that out, multiply the number of joists (73) by the length of each
one (27 feet or the width of the house).
73 x 27 = 1,971
feet
Now calculate the cost at $1.25 per foot:
1,971
feet x $1.25 per foot = $2,463.75
The joists will cost $2,463.75.
The
Trusses
The engineered trusses are 24 inches or 2 feet apart.
The trusses are 1 foot longer all the way around the house than the actual
floor area. So, instead of 96 feet x 27 feet, you'll need to calculate
the truss lengths based on a measurement of 96 x 29 feet.
96 feet
x 12 inches per foot = 1,152 inches
Now you can divide the length
of the house by 24:
1,152 / 24 = 48
You'll
need 48 trusses plus one for the end for the house for a total of 49.
Each
joist costs $1.50 per linear foot, so now you need to figure out how many
feet of trusses you have.
To figure that out, multiply the number of
trusses (73) by the length of each one (29 feet or the width of the house
plus a foot overhang on each end).
73 x 29 = 2,117 feet
Now
calculate the cost at $1.50 per foot:
2,117 ft x $1.50 per foot
= $3,175.50
The trusses will cost $3,175.50.
The Laminated
Beams
Since you need 2 beams, all you need to do is add the 2
lengths together:
13 feet + 20 feet = 33 feet
33
feet x $3.40 = $112.20
The laminated beams will cost $112.20.
To
determine your customer's total quote, it's as simple as adding
the three totals of the 3 materials together:
$2,463.75
+ $3,175.50 + $112.20 = $5,751.45
You give your customer
a quote for $5,751.45 -- not including taxes, of course!