Given:
32 bolts for a total of $12.00
3-inch bolt costing 36 cents or 0.36
4-inch bolt costing 42 cents or 0.42
let x represent 3-inch bolt costing 36 cents
let y represent 4-inch bolt costing 42 cents
x + y = 32
0.36x + 0.42y = 12
x = 32 - y
0.36(32-y) + 0.42y = 12
11.52 - 0.36y + 0.42y = 12
-0.36y + 0.42y = 12 - 11.52
0.06y = 0.48
y = 0.48/0.06
y = 8
x = 32 - y
x = 32 - 8
x = 24
James bought 24 pcs of the 3-inch bolt and 8 pcs of the 4-inch bolt.
To check
<span>0.36x + 0.42y = 12
</span>0.36(24) + 0.42(8) = 12
8.64 + 3.36 = 12
12 = 12
Answer:
Put all terms on one side of the equal sign, leaving zero on the other side.
Factor.
Set each factor equal to zero.
Solve each of these equations.
Check by inserting your answer in the original equation.
C is your answer. 5x + 2 = 17
First let’s get them all in terms of x:
Box kites = 3x
Dragon kites = x + 2
Butterfly kites = x
Adding all those up:
x + 3x + x + 2 = 17
Combine like terms:
5x + 2 = 17
