Question

Answer each question and tell your reasoning.

a. Is 60% of 400 equal to 87?



b. Is 60% of 200 equal to 87?


c. Is 60% of 120 equal to 87?


2. 60% of x
is equal to 87. Write an equation that expresses the relationship between 60%, x
, and 87. Solve your equation.
Equation:
x=


3. Write an equation to help you find the value of each variable. Solve the equation.
60% of c
is 43.2.
Equation:
c=


38% of e
is 190.
Equation:
e=

Answer 1

Explanation:

400*60% can be rewriten as 400×0.6 which is 240, so a is false.

the same steps can be repeated for b and c

b) 200*0.6=120, therefore is false

c) 120*0.6=72, therefore is false

2)

`60 percent * x=87\\0.6x=87\\x=(87)/(0.6) \\\\x=145`

Now we check the answer by using the same steps in problems a,b,c

`145*0.6=87\\87=87`

3)

`0.6c=43.2\\c=(43.2)/(0.6) \\c=72`

and finally

`0.38e=190\\e=(190)/(0.38) \\e=500`