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In each of the following, let x represents the unknown. Write an equation and then solve for the unknown.
1. if a number was tripled, the result will be the same as when 28 is added to the number . what is the number?
2. Anthony is 5 years older than Benson. Robert is 3years younger than Benson. if the sum of their age is 50, how old is each?
3. Ronald and john have 80 marbles altogether, John has 4 times as many marbles as Ronald. How many marbles does each boy have?
4. The numerator of a fraction is 5 less than the denominator. if 1 is added to both the numerator and the denominator, the fraction becomes 2/3. Find the Fraction

Sagot :

TEIRIAERDEIN

Answer:

1. 3x=28+x; x=14

2. let A for Anthony

B for Benson

R for Robert

A= 5+B

R= B-3

A+B+R=50

substitute

(5+B)+(B-3)+B=50

B=16

then substitue B from 1st and 2nd equation

you will get A=21, R= 13

3. let r for ronald n j for john

r+j=80

j=4r

substitute j

r+4r =80

r=16

j=4(16) =64

4. [(5-n)+1/(n)+1] = 2/3

(5-n)3=n(2)

15-3n=2n

15=5n

n=3

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