5.5 Application ii - solving problems  (Page 2/4)

Garden A produces $5.8$ times as many vegetables as garden B. Together the gardens produce 102 pounds of vegetables. How many pounds of vegetables does garden A produce?

1. Let $x=$

The sum of two consecutive even numbers is 498. What are the two numbers?

If eighteen is subtracted from some number the result is fifty-two. What is the number?

1. Let $x=$
2. The equation is
3. (Solve the equation.)
4. (Check)
5. The number is .

If nine more than twice a number is forty-six, what is the number?

1. Let $x=$
2. The equation is
3. (Solve the equation.)
4. (Check)
5. The number is .

If nine less than three eighths of a number is two and one fourth, what is the number?

1. Let $x=$
5. The number is .

Twenty percent of a number is 68. What is the number?

1. Let $x=$
5. The number is .

Eight more than a quantity is 37. What is the original quantity?

1. Let $x=$
5. The original quantity is .

If a quantity plus $85\%$ more of the quantity is $62.9$ , what is the original quantity?

1. Let $x=$ original quantity.
2. $\begin{array}{cccc}\underset{\begin{array}{l}\text{original}\\ \text{quantity}\end{array}}{\underbrace{x}}& +& \underset{\begin{array}{l}\\ \text{85\%}\text{more}\end{array}}{\underbrace{.85x}}& =62.9\end{array}$
5. The original quantity is .

A company must increase production by $12\%$ over last year’s production. The new output will be 56 items. What was last year’s output?

1. Let $P=$
5. Last year’s output was items.

A company has determined that it must increase production of a certain line of goods by $1\frac{1}{2}$ times last year’s production. The new output will be 2885 items. What was last year’s output?

5. Last year’s output was items.

A proton is about 1837 times as heavy as an electron. If an electron weighs $2.68$ units, how many units does a proton weigh?

5. A proton weighs units.

Neptune is about 30 times as far from the sun as is the Earth. If it takes light 8 minutes to travel from the sun to the Earth, how many minutes does it take to travel to Neptune?

5. Light takes minutes to reach Neptune.