Question

In a survey of a market ,143 people use white tooth paste and 135 use red tooth paste if 70 people use both tooth paste find the number of people who use at least one type of tooth paste

Answer 1

Solution -

In a survey of a market , it is found that 143 people use white toothpaste , 135 people use red tooth paste. If 70 people use both the types of tooth paste, find the number of people who atleast use one type of toothpaste .

People using white toothpaste - 143

People using red toothpaste - 135

People using both types of tooth paste - 70

Total number of people using atleast one type of toothpaste :

>> P_White + P_Red - P_INC

>> 143 + 135 - 70

>> 208

Answer : 108 people use atleast one type of toothpaste.

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Answer 2

$\large\underline{\underline{\maltese{\red{\pmb{\sf{\: Given :-}}}}}}$

• ➬ In a survey of a market 143 people use white toothpaste .
• ➬ 135 people use red toothpaste .
• ➬ 70 people use both type of toothpaste .

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$\large\underline{\underline{\maltese{\gray{\pmb{\sf{\: To \:Find :-}}}}}}$

• ➬ No. of people who use at least 1 type of toothpaste = ?

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$\large\underline{\underline{\maltese{\purple{\pmb{\sf{\: Solution :-}}}}}}$

❒ Finding the no. of people using 1 toothpaste :

${:\longmapsto{\sf{ Toothpaste{\small_{(Red)}} + Toothpaste{\small_{(White)}} - Toothpaste{\small{(Both)}} = {\green{\sf{Toothpaste{\small{(1\:type)}}}}}}}}$

${:\longmapsto{\sf{ 135 + 143 - 70 = {\green{\sf{Toothpaste{\small{(1\:type)}}}}}}}}$

${:\longmapsto{\sf{ 278- 70 = {\green{\sf{Toothpaste{\small{(1\:type)}}}}}}}}$

${:\longmapsto{\sf{ 278- 70 }}}$

$\red{:\longmapsto{\orange{\underline{\overline{\boxed{\sf{208}}}}}}}$

$\qquad{━━━━━━━━━━━━━━━━━━━━━━━━━━}$

❒ Therefore :

❝ 208 people use 1 type of toothpaste . ❞

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