Word Problems
1 A contingent of 428 soldiers was
marching in a parade. The leader of this contingent was leading the team in the front. The remaining soldiers formed a perfect rectangle behind him. If the number of soldiers in each row behind him was less than 12, find the maximum number of soldiers in each row. Also find the number of rows in that rectangular formation.
2 Suresh had 72 counters with him. He arranged them in the form of a rectangle. He found that he could arrange 1 counter each in a row and get 72 rows, 2 counters each in a row and get 36 rows, and 3 each in a row to get 24 rows. What other rectangular formations are possible?
3 Alkg packet of toffee contains 85 toffees. Janu bought 8 such packets. She emptied all the 8 packets of toffees into a big container. Her five friends who helped her in this work took 7 toffees each. They packaged the remaining toffees equally into three boxes. How many toffees were packed in each box?
Sally and her friends together made 348 fancy handkerchiefs for sale in the carnival. Can they pack these handkerchiefs by putting 6 each in a packet so that no handkerchief is left behind? How?
5 Soman sold apples at the rate of 5 each. At the end of the day he said that the sale proceeds were 2 896. Is he right in his calculation? Give reasons to support your answer.
Can Sushil pack 960 tennis balls in boxes if each box can contain 15 balls exactly? Give reasons to support your answer.
7 The cost of a rose bud at a florist is 9. Can I purchase rose buds for exactly 378? Give reason to support your answer.
Answers
Answer:
Answer
3) 215 toffees
4) 38 packets
5) soman's calculatiom was wrong.
6) Shushil can't pack the tennis box accordingly.
7) yes he can buy
Step-by-step explanation:
3) answer
Number of packets Jaanu baught = 8
Each packet contain number of toffees = 85
After emptying all 8 packets number of toffee collected in the container = 8 × 85
= 680
Number of friends Jaanu had = 5
number of toffees Jaanu's frnd took = 7 toffees each
Total number of Toffees Jaanu's frnd took from the container = 5 × 7
= 35 toffees
Number of toffees remained in the container = 680 - 35 = 645
They packed remaining Toffees in 3 boxes equally.
so,
Number of Toffees packed in each boxes = 645÷3
= 215
They packed 215 toffees in each ( 3 ) box .
4.)Answer
Number of handkerchief Sally and her friends made for carnival = 348
They want to pack 6 handkerchief in each packet.
so,
Number of packets needed to pack entire 348 handkerchief = 348 ÷ 6
= 58 packets
Ans. They need total 58 packets to pack 348 handkerchief by packing 6 handkerchief in each.
5.)answer
Soman sold apples at the rate of = 5
In the end of the day his sale proceeds were counted = 2896
Number of apples Soman sold = 2896 ÷ 5
= 579.2
Conclusion
so, directly from one look without any calculation we can say that calculation of soman was wrong because if we study the table of 5 the numbers appeared in the table are 5 either 0 in one's place. so accordingly it is not possible that we get any other number besides 5 and 0 no matter how much we count the table.
so , soman's calculation was wrong.
6)Answer
Number of tennis balls shushil wants to pack = 15 each
Total number of tennis balls = 980
Numbers of Box he need to pack the tennis balls = 980 ÷ 15
= 63.33
Since , their no accurate number of Box , Shushil can't pack these tennis balls according 15 balls each.
7) Answer
Cost of rose bud = 9
he want to purchase rose at amount = 378
Can he purchase roses in accurate 378
so,
= 378 ÷ 9
= 42 rose.
yes, he can purchase 42 roses at 378.
Conclusion
He can purchase rose at 378 , because division of 378 by 9 gave accurate counting of numbers.
Hope so this helps you , I know these 5 questions only, take care