In one problem, he gave her a store receipt that listed 72 identical items, each the same price, for a total cost of

$ * 67.9*

Bryn's Grandpa covered the first and last digits of the total price on the receipt

with stars.

Determine the values of the digits that Bryn's Grandpa covered.

The first covered digit = x = 3

The last covered digit = y = 2

The total price on the receipt = $367.92

Step-by-step explanation:

Given data:

total cost = $ * 67.9*

First we check for the multiples of 72

9 × 8 = 72

Let

the first covered digit be denoted by x

the last covered digit be denoted by y

Solution

First we find the last covered digit

If a number should be divisible by 8,

It must be a multiple of 8

From the given price:

The last 3 digits = 79*

number in multiples of 8

7.9* = 7.20 + 0.64+ 0.08

7.9* = 7.92

Therefore, the last two digit is 2.

Next We find the first covered digit.

If a number is divisible by 9, it is a multiple of 9

The first digit = x  would be determined as:

= x + 6 + 7 + 9 + 2

= x + 24

= x + 24

multiple of 9 nearer to 24 = 27

27 = x + 24

x = 27 - 24

x = 3.

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)