Suppose that 16 inches of wire costs 64 cents.
At the same rate, how many inches of wire can be bought for 48 cents?
48 is 3/4 of 64 cents
so, what's 3/4 of 16 inches?
Well, it seems like wire is getting cheaper by the inch! If 16 inches cost 64 cents, then we can use some good old-fashioned math to figure out how many inches we can get for 48 cents.
Let's set up a proportion: 16 inches / 64 cents = x inches / 48 cents.
Now, we can cross multiply and solve for x:
16 inches * 48 cents = 64 cents * x inches.
Multiplying these numbers gives us:
768 cents = 64 cents * x inches.
To find x, we will divide both sides of the equation by 64 cents:
x inches = 768 cents / 64 cents.
And, lo and behold, we find that x equals 12 inches! So, for just 48 cents, you can buy 12 inches of wire. That's not too shabby!
To solve this problem, we need to determine the cost per inch of wire and then use that information to find out how many inches can be bought for 48 cents.
First, let's calculate the cost per inch of wire. We know that 16 inches of wire cost 64 cents. So, we can set up a proportion to find the cost per inch:
16 inches / 64 cents = 1 inch / x cents
Cross-multiplying, we get:
16x = 64
Now, solve for x:
x = 64 / 16
x = 4 cents
Therefore, the cost per inch of wire is 4 cents.
Next, we can find out how many inches can be bought for 48 cents. We'll set up a proportion using the cost per inch:
1 inch / 4 cents = y inches / 48 cents
Cross-multiplying, we get:
4y = 48
Solve for y:
y = 48 / 4
y = 12 inches
Therefore, 12 inches of wire can be bought for 48 cents at the same rate as the given scenario.
16:64=48:x
16/64=48/x
1/4=48/x
by cross multiplication
x=192
so you can buy 192inches of wire.