Question

Solve for the rate (as a %). Round to the nearest tenth of a percent when necessary.

What percent of 1,600 is 2,700?

______%


Solve for the rate (as a %). Round to the nearest tenth of a percent when necessary.
$7.40 is what percent of $58.90?

______%


Solve for the base (in $). Round to hundredths when necessary.
What is the base if the portion is $4,580 and the rate is 65%?



Solve for the base. Round to hundredths when necessary.
140 is 120% of what number?



Solve the word problem for the portion, rate, or base.
A quality control process finds 46.8 defects for every 7,800 units of production. What percent of the production is defective?
______ %



Solve the word problem for the portion, rate, or base.
A medical insurance policy requires Ana to pay the first $100 of her hospital expense. The insurance company will then pay 90% of the remaining expense. Ana is expecting a short surgical stay in the hospital, for which she estimates the total bill to be about $4,800. How much (in $) of the total bill will Ana owe?

Answer 1

Part 1)
`168.8\%`

Part 2)
`12.6\%`

Part 3)
`\$7,046.15`

Part 4)
`116.67`

Part 5)
`0.6\%`

Part 6)
`\$570`

Explanation:

Part 1) Solve for the rate (as a %). Round to the nearest tenth of a percent when necessary.

What percent of 1,600 is 2,700?

Let

x ----> the rate

In this problem the base ( number that represent the 100%) is 1,600 and the portion is 2,700

so

using proportion

`(100\%)/(1,600)=(x\%)/(2,700)\\\\x=2,700*(100)/1,600\\\\x= 168.75\%`

Round to the nearest tenth of a percent

`168.75\%=168.8\%`

Part 2) Solve for the rate (as a %). Round to the nearest tenth of a percent when necessary.

$7.40 is what percent of $58.90?

Let

x ----> the rate

In this problem the base ( number that represent the 100%) is $58.90 and the portion is $7.40

so

using proportion

`(100\%)/(\$58.90)=(x\%)/(\$7.40)\\\\x=7.40*(100)/58.90\\\\x= 12.56\%`

Round to the nearest tenth of a percent

`12.56\%=12.6\%`

Part 3) Solve for the base (in $). Round to hundredths when necessary.

What is the base if the portion is $4,580 and the rate is 65%?

Let

x -----> the base

using proportion

`(\$x)/(100\%)=(\$4,580)/(65\%)\\\\x=4,580*100/65\\\\x=\$7,046.15`

Part 4) Solve for the base. Round to hundredths when necessary.

140 is 120% of what number?

Let

x -----> the base

In this problem the rate is 120% and the portion is 140

using proportion

`(x)/(100\%)=(140)/(120\%)\\\\x=140*100/120\\\\x=116.67`

Part 5) Solve the word problem for the portion, rate, or base.

A quality control process finds 46.8 defects for every 7,800 units of production. What percent of the production is defective?

Find for the rate

Let

x -----> the rate

In this problem the base is 7,800 units and the portion is 46.8

using proportion

`(100\%)/(7,800)=(x\%)/(46.8)\\\\x=46.8*(100)/7,800\\\\x= 0.6\%`

Part 6) A medical insurance policy requires Ana to pay the first $100 of her hospital expense. The insurance company will then pay 90% of the remaining expense. Ana is expecting a short surgical stay in the hospital, for which she estimates the total bill to be about $4,800. How much (in $) of the total bill will Ana owe?

step 1

Find the 90% of the remaining expenses

$4,800-$100=$4,700 -----> remaining expenses

In this part $4,700 is the base, the rate is 90%

Find the portion

Let

x -----> the portion

using proportion

`(\$x)/(90\%)=(\$4,700)/(100\%)\\\\x=90*4,700/100\\\\x=\$4,230`

step 2

Find out the total bill that Ana will owe

`\$4,700-\$4,230=\$470`

`\$470+\$100=\$570`