Mohan bought 3 1/2 kg of rice and Saham bought 2 3/4 k. How much rice did did they but altogether? If rice costs 64 per kg, how much they spend on the rice they bought?
To find out how much rice Mohan and Saham bought altogether, we add their purchases.
Mohan bought 3 1/2 kg of rice, which can be written as an improper fraction: 3 1/2 = (2*3 + 1)/2 = 7/2 kg.
Saham bought 2 3/4 kg of rice, which can be written as an improper fraction: 2 3/4 = (2*4 + 3)/4 = 11/4 kg.
To add these fractions, we need a common denominator. The least common multiple of 2 and 4 is 4. So, we rewrite the fractions with a common denominator of 4.
Mohan's purchase: 7/2 = (7*2)/(2*2) = 14/4 kg.
Saham's purchase: 11/4 kg.
Now we can add their purchases:
14/4 kg + 11/4 kg = (14 + 11)/4 kg = 25/4 kg.
So, Mohan and Saham bought a total of 25/4 kg of rice.
To find out how much they spent on the rice they bought, we multiply the total amount of rice by the cost per kilogram:
Cost of rice per kilogram = $64.
Total rice purchased = 25/4 kg.
Total cost = (25/4) kg * $64/kg.
To multiply a fraction and a whole number, multiply the numerator (25) by the whole number (64):
Total cost = (25/4) * 64.
To multiply two fractions, multiply the numerators (25 * 64) and the denominators (4):
Total cost = (25 * 64) / 4.
Calculating the numerator:
25 * 64 = 1600.
So, the total cost is 1600/4.
Simplifying this fraction by dividing the numerator and denominator by the greatest common divisor (GCD) of 1600 and 4, which is 4:
Total cost = (1600/4) / (4/4) = 400 / 1.
Therefore, the total cost of the rice they bought is $400.