I. Read, analyze and solve the problem.
a. Peter harvested green mangos in their backyard. What is the smallest number of mango that can be placed in baskets with 45 and 90 pieces?
1. What is asked?
2. What facts are given?
3. How will you solve the problem?
4. How is the solution done?
5. What is the answer?
Answers & Comments
Answer:
1.What is the smallest number of mango that can be placed in baskets with 45 and 90 pieces?
2.45 and 90
3.let n represent the number of the mangoes
4 and 5
w many mangoes are there in the basket?
Here,
Let N represent no of mangoes.
Then, analyzing the question we can write,
N=2a + 1
N=3b + 2
N=4c + 3
N=5d + 4
N=6e + 5
N=7f
Add 1 on both sides in all the equations. Then,
N+1=2a + 2=2(a+1)
Similarly,
N + 1=3(b +1)
N + 1=4(c +1)
N + 1=5(d +1)
N + 1=6(e +1)
N + 1=7f + 1
This means when that number is increased by 1,it is divisible by 3,4,5, and 6. The second least number divisible by 3, 4, 5 and 6 is 120. We ignore least no 60 as 59 is not divisible by 7. So the number N +1 should be 120x where x is any positive integer.
Take least value of n so that N + 1=120
So, N=120-1=119.
So 119 is the answer
Step-by-step explanation:
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