A merchant in the port city of Lothal is exchanging bags of spices for copper ingots. Class 9

A merchant in the port city of Lothal is exchanging bags of spices for copper ingots. Class 9

Question 1.

A merchant in the port city of Lothal is exchanging bags of spices for copper ingots. He receives 15 ingots for every 2 bags of spices. If he brings 12 bags of spices to the market, how many copper ingots will he leave with? Class 9

Solution:

The merchant receives 15 ingots for every 2 bags of spices.

Number of ingots received per bag = $\frac{15}{2}$

The merchant brings 12 bags of spices.

Number of ingots received for 12 bags of spices = 12 × $\frac{15}{2}$ = 90

The merchant will leave with 90 copper ingots.

Question 2.

Look at the sequence of numbers on one column of the Ishango bone: 11, 13, 17, 19. What do these numbers have in common? List the next three numbers that fit this pattern. Class 9

Solution:

The given sequence is 11,13,17,19

These numbers are prime numbers (numbers divisible only by 1 and themselves). They are consecutive prime numbers between 10 and 20.

∴ The next three prime numbers after 19 are 23, 29 and 31.