Question

Karuna went to Big Bazaar with her four friends. There she saw many fruits in the food bazar section. They purchased some fruits as per the given table.
NAME FRUIT NUMBER OF FRUITS Total cost of number of fruits shown SAROJ MANGO 48 HAMEEDA APPLE 102 KARUNA BANANA 12 168 JOSEPH GUAVA 18 SUKHVINDER LICHI 15 Karuna told her friends that three times the number of bananas she had bought is equal to four less than ten times the total number of fruits her friends had bought. 3.1. How many bananas had Karuna bought? 3.2. Hameeda replied to Karuna, “ You have the number of bananas which is equal to two less than six times the number of fruits Saroj and I had.” Was Hameeda right? 3.3. Find the ratio of Number of bananas to the number of other fruits.​

Answer 1

Given is the data for purchase of fruits from big bazar, answer the given questions using this data.

Explanation:

• Let the number of mangoes be 'm' , apples be 'a', bananas be 'b' , guavas be 'g' and lichis be 'l'. Then we have following table,                          $Friend \ \ \ \ \ \ Fruit \ \ \ \ \ \ \ \ number\ of\ fruit\ \ \ \ \ cost \\Saroj\ \ \ \ \ \ \ \ Mango\ \ \ \ \ \ \ \ \ \ \ m=4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 48\\Hameeda\ \ \ \ Apple\ \ \ \ \ \ \ \ \ \ \ \ a=3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 102\\Karuna\ \ \ \ \ \ Banana\ \ \ \ \ \ \ \ \ \ \ b\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 168$                                                        $Joseph\ \ \ \ \ \ \ \ Guava\ \ \ \ \ \ \ \ \ \ \ g=3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 18\\Sukhwinder\ \ Lichi\ \ \ \ \ \ \ \ \ \ \ l=3\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 15$                
• (3.1) number of bananas is four less than ten times total fruits. Hence, we have,      $b=10(m+a+g+l)-4$                                                                            $->3b=10(4+3+3+3)-4\\->3b=10(13)-4\\->b=42$       ------>ANSWER
• (3.2) Hameeda says number of bananas is two less than six times the number of fruits Saroj and she bought. Hence, $b=6(m+a)-2$                        $->b=6(4+3)-2\\->b=6(7)-2\\->b=40$     ----> Hameeda is not right.
• ratio of number of bananas to number of other fruits is,                             $r=\frac{b}{m+a+g+l}\\ r=\frac{42}{4+3+3+3}\\r=\frac{42}{13}\ \ \ \ \ \ r= 42:13$        ----->ANSWER