If a person can buy 10 plates of rice or 15 plates of noodles, buy equal number of plates of rice and noodles, how many of each type can he buy

Question

If a person can buy 10 plates of rice or 15 plates of noodles with his pocket money, If he wishes to buy equal number of plates of rice and noodles, how many of each type can he buy with the money

Answer 1

Good morning Faraz,

 

the person has enough money to buy 10 plates of rice 

 

let's make up a number for the amount of money the person has 

 

let's say he has $150

 

Any number you choose would work . I just chose one that keeps us from working with decimals or fractions

 

If he can buy 10 plates of rice for $150, then the cost of one plate is 

 

150 ÷ 10 = 15    One plate of rice costs $15

 

Also, if he can buy 15 plates of noodles, then the cost of one plate is

 

150 ÷ 15 = 10    One plate of noodles costs $10

 

So if he's going to buy equal amounts of rice and noodles, what would that amount be?

 

let X = the number of each he can buy

 

multiply the cost of each plate times X and set the sum equal to $150

 

$10X + $15X =$150

 

25X = 150

 

X =6           He can buy 6 plates of each