the second of the three is 6 times the first. the third is 6 less than the first. the sum of the second and third numbers is 98. find all three numbers.

83

Step-by-step explanation:

x + y + z = 83

(y + 7) + y + 2y = 83

4y + 7 = 83

4y = 76

y = 19

The second number is 19. The first is 19 + 7 or 26, and the third is 2 times 19 or 38.

A check reveals that 26 + 19 + 38 = 83

first number=14.9,second number=89.4 and third number=8.9

Step-by-step explanation:

let the first number be "a" , second number be "b" and third number be "c"

From the question above we know,

b=6a

c=a-6

And b+c=98  

so we can write,

b+c=98  

(6a)+(a-6)=98  

6a+a=98+6

7a=104

a=104/7

∴a=14.9(correct to 3 sig. fig.)

again

b=6a=6(14.9)= 89.4(correct to 3 sig. fig.)

c=a-6=(14.9)-6=8.9(correct to 3 sig. fig.)

Now if u want to make sure that ur answer is correct just add b+c and see if its 98

b+c=98

89.4+8.9=98.3=98(correct to whole number)

Option C -

Step-by-step explanation:

Given : The Jones family plans a trip to the amusement park a purchase a family package for $128.00. They also want to buy lunch and souvenir cups. The chicken platter costs $8.50 each and the burger platter costs $9.50 each. The souvenir cups each cost $10.00

To find : Which of the following algebraic expressions can be used to describe the amount of money the Jones family will spend, before sales tax, based on the number of each meal and souvenir cups purchased?

Solution :

Let x represent the number of chicken platters.

Let y represents the number of burger platters.

Let z represent the number of souvenir cups.

A family package cost is $128.00.

The chicken platter costs $8.50 each

The cost of x chicken platter =

The burger platter costs $9.50 each.

The cost of y burger platter =

The souvenir cups each cost $10.00

The cost of z souvenir cups  =

Therefore, Total they spend is

Hence, Option C is correct.