Question

13. Sheila and her 44 friends went for picnic to a park located in the centre of their city.

a. Can they divide themselves into groups of 2, 3, 4, 5, 6, 9 and 11 equally?

b. List the factors of 44

C. List the first 5 multiples of 44



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Answer 1

Answer:

b. factors of 44 = 1, 2, 4, 11, 22, 44

c. 44×1 = 44, 44× 2 = 88, 44×3= 132, 44×4= 176, 44× 5 = 220, 44×6= 264

Answer 2

Answer:

Let us assume that the total number of friends be ‘x’, then each person was 960x. Also, contribution of each friend after 4 friends leave = 960(x−4), so, we get an equation as according to the question as 960x−4−960x=40. Now, we will solve the equation to find x.

Complete step-by-step answer:

It is given in the question that a number of friends decided to go on a picnic and planned to spend Rs960 on food. Four of them left the group, as a result the remaining one’s had to contribute Rs.40 each extra. Then, we have to find the number of friends who attended the picnic.

Let us first assume that the total number of friends decided to go on a picnic be x. Also, it is given that they will spend Rs960 on food. Accordingly, each member of the group has to contribute Rs960x.

Now, it is given that 4 friends out of them left out and as a result, each one left had to pay an extra amount of Rs40 to meet the Rs960 value. Therefore the contribution per person would be Rs960x−4.

Therefore, according to the question we get the following relation 960x−4−960x=40. Solving this, we get

960x−960(x−4)x(x−4)=40, solving further, we get

960x−960x+3840=40x(x−4), that is,

3840=40x2−160x, rearranging the equation to get

40x2−160x−3840=0, dividing the whole equation by 40, we get,

x2−4x−96=0, solving the equation by splitting the middle term, we get

x2−12x+8x−96=0, taking x−12 factor as common, we get,

x(x−12)+8(x−12)=0, that is,

(x−12)(x+8)=0, therefore ,we get values of x as x=12,−8.

Since, the number of members in a group cannot be negative, we get x=12 as the total number of group members.

Therefore, the total members who went to the picnic were 12−4=8, that is option a) is the correct answer.

Step-by-step explanation:

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