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Chapter 7: Q17. (page 243)

Three numbers aren鈥檛 known, but the ratio of the numbers is1:2:5 . Is it possible that the numbers are1,2, and5.10,20, and50?3,6, and20? x,2x,and5x?

Short Answer

Expert verified

The answer is (1,2,5),(10,20,50)and (x,2x,5x).

Step by step solution

01

Step 1. Given information.

Ratio of three unknown numbers is1:2:5.

numbers can be1,2鈥塧苍诲5鈥塷谤10,20鈥塧苍诲50鈥塷谤鈥�3,6鈥塧苍诲20鈥塷谤鈥�x,2x鈥塧苍诲5x.

Ratio is1:2:5 .

02

Step 2. Checking first pair of numbers.

1:2:5, this is possible.

03

Step 3. Checking second pair of numbers.

10:20:50Dividingby101:2:5

These numbers are also possible.

04

Step 4. Checking third pair of numbers.

3:6:20

Not possible.

05

Step 5. Checking fourth pair of numbers.

x:2x:5xDividingbyx1:2:5

Therese numbers are possible.

Therefore, the answer is(1,2,5),(10,20,50) and(x,2x,5x) .

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Most popular questions from this chapter

Find the value of x.

x+32=43

Express the ratio in simplest form.

IT:DT

What is the second term of the proportionab=xy?

Find the measure of each angle.

The measures of the angles of a triangle are in the ratio3:4:5.

(a)Apply the means-extremes property of proportions to the proportion.

ef=g5and you get5e=?

(b)Apply the property to the proportion5f=ge and you get?=?

(c)Are the proportionsef=g5 and5f=ge equivalent Why
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