Question

Bob bought $1 $2 $5 stamps using usd 20 the shopkeepr gave him three $1 stamps nd different count of stamps of each denomination how many stamps does he hve in total

Answer 1

Answer:

three stamps of $1, 1 stamp of $5 and 6 stamps of $2

Step-by-step explanation:

We need to have different count of stamps of each denomination.

When shopkeeper gave him three stamps of $1, we need to buy $17 in $2 and $5 stamps. We have two solutions.

1)  Three stamps of $5 and one stamp of $2. But, we need to have different count of stamps. In this solution we have same number of stamps of $1 and $5, so this is incorrect solution.

2) One stamp of $5 and 6 stamps of $2. By this way, we have different count of stamps. Three stamps of $1, 1 stamp of $5 and six stamps of $2. When we sum that, there is 3*$1 + 1*$5 + 6*$2 = $20. This is the correct answer.

Answer 2

Bob bought $1 $2 $5 stamps using $ 20 the shopkeeper gave him three $1 stamps nd different count of stamps of each denomination how many stamps does he have in total

Bob got $1 stamps = 3

Let say Bob got $2 stamps = x

bob got $5 stamps = y

as per questions

$x \: \cancel{ = } \: y \: \: \cancel{ = } \: 3$

total money was = $20

3×1 + x × 2 + y × 5 = 20

=> 2x + 5y = 17

5y < 17

=> y < 3 as y can not be equal to 3

so y can be 2 or 1 as bob got each donominations.

if y = 2

then 2x + 5×2 = 17 => 2x = 7 => x = 3.5

which is not possible as x need to be whole integer. number of stamps can not be in fraction.

if y = 1

then

2x + 5×1 = 17

=> 2x = 12

=> x = 6

so bob got

3 stamps of $1

6 stamps of $2

1 stamp of $5