Question

Simplify: 78 - [24 - {16 (5 - 4 - 1)}]
Simplify: 197 - [1/9{42 + (56 - 8 + 9)} +108]​

Answer 1

Answer :

• 54
• 78

Solution :

Simplify: 78 - [24 - {16 (5 - 4 - 1)}]

Step-by-step explanation ::

→ 78 - [ 24 - { 16 ( 5 - 4 - 1 )}]

→ 78 - [ 24 - { 16 ( 5 - 5 )}]

→ 78 - [ 24 - { 16 ( 0 )}]

→ 78 - [ 24 - { 16 × 0 }]

→ 78 - [ 24 - 0 ]

→ 78 - 24

→ 54

The required number is 54.

Now, Verification

→ 78 - [ 24 - { 16 ( 5 - 4 - 1 )}] = 54

→ 78 - [ 24 - { 16 ( 5 - 5 )}] = 54

→ 78 - [ 24 - { 16 ( 0 )}] = 54

→ 78 - [ 24 - { 16 × 0 }] = 54

→ 78 - [ 24 - 0 ] = 54

→ 78 - 24 = 54

→ 54 = 54

L.H.S = R.H.S

Hence, Verified !

Simplify: 197 - [1/9{42 + (56 - 8 + 9)} +108]

Step-by-step explanation ::

→ 197 - [ 1/9 { 42 + ( 56 - 8 + 9 )} + 108 ]

→ 197 - [ 1/9 { 42 + ( 65 - 8 )} + 108 ]

→ 197 - [ 1/9 { 42 + 57 } + 108]

→ 197 - [ 1/9 { 99 } + 108 ]

→ 197 - [ 1/9 × 99 } + 108 ]

→ 197 - [ 11 + 108 ]

→ 197 - 119

→ 78

The required number is 78.

Now, Verification

→ 197 - [ 1/9 { 42 + ( 56 - 8 + 9 )} + 108 ] = 78

→ 197 - [ 1/9 { 42 + ( 65 - 8 )} + 108 ] = 78

→ 197 - [ 1/9 { 42 + 57 } + 108] = 78

→ 197 - [ 1/9 { 99 } + 108 ] = 78

→ 197 - [ 1/9 × 99 } + 108 ] = 78

→ 197 - [ 11 + 108 ] = 78

→ 197 - 119 = 78

→ 78 = 78

L.H.S = R.H.S

Hence, Verified !

Answer 2

Answer:

In an online learning class, there are 30 students. 40% of the students take statistics but not accounting and 30% of the students take both statistics and accounting. One student does not take any of the courses. Draw the above information in a Venn Diagram. Determine the

number of students who take accounting and not statistics. Find the number of students who take statistics or accounting.