Answer:
32%
Step-by-step explanation:
First find the whole, the total number of toy cars:
160 on the wall} + 340 \text{ in display case} = }{500} total toy cars}
160 on the wall+340 in display case=500 total toy cars
Method 1: Set up a proportion
Set up an equation of the form:
whole
part
= }{100}
100
percent
Assign the variable xx to the unknown value:x}=
x=
percent
The question asks what }percent of all the toy cars is 160
Substitute the known values with the numbers given in the problem, and the unknown value with xx:
\frac{\color{red}{160}}{\color{orange}{500}}=
500
160
={100}
100
x
Solve for xx:
100}{160}=
100⋅160=
{500}
500⋅x
Cross multiply
16000}{500}=
500
16000
=
{500x}{500}
500
500x
Divide both sides by 25
{32\%}=
32%={x}
x
Simplify
Method 2: Find percent directly
Find \(160\) out of \(500\) as a decimal:}
Find 160 out of 500 as a decimal:
{160} {500}}=
500
160
=
\,\,0.32
0.32
\text{Convert decimal to percent:}
Convert decimal to percent:
0.32\times100=
0.32×100=
32\%}
32%
Move decimal 2 places to the right
number
percent
160
32%
500
100%
