Question

If the weight of a package is multiplied by 5/6 the result is 10 lbs. Find the weight of the package.

Answer 1

Answer:

Step-by-step explanation:

1

. Start by making a "let statement."

Let

x

represent the weight of the package.

2

. Create an algebraic expression.

5

7

x

=

40.5

i

pounds

3

. Isolate for

x

by dividing both sides by

5

7

.

5

7

x

÷

5

7

=

40.5

i

pounds

÷

5

7

4

. Recall that in order to divide a fraction by another fraction, take the reciprocal of the divisor and change the division sign to a multiplication sign.

5

7

x

⋅

7

5

=

40.5

i

pounds

⋅

7

5

5

. Solve for

x

.

5

⋅

7

7

⋅

5

x

=

40.5

⋅

7

5

i

pounds

x

=

∣

∣

∣

∣

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

a

a

56.7

i

pounds

a

a

∣

∣

−−−−−−−−−−−−−−−