the cost of 3 pens is 15 rupees. then what is the rule for the cost of x pens
Answers
Answer:
This is your required answer
Step-by-step explanation:
The original question is:
“If the cost of 3 pens and 5 pencils is Rs 14, then what is the cost of 10 pens and 12 pencils?”
(Rs = Indian Rupee = 1.6¢ U.S.)
I will start by saying that you should do your own homework; you are lucky I am feeling charitable tonight.
To answer the question, we need to know how much a pen costs and how much a pencil costs. For this we use some deductive reasoning:
1. Pencils are commonly less expensive than pens
2. There are 8 items, and 14 is not divisible by 8.
3. It can be assumed that the prices are in whole units (so no fractions of a Rs).
So we will separate the two groups:
5 pencils
3 pens
The minimum price of any item is 1 Rs, so if we assume the pencils cost Rs 1 each, that means that the three pens will cost Rs 9.
9 is divisible by 3, so we can determine with a fair degree of certainty that:
Each pencil costs Rs 1 and
Each pen costs Rs 3
Now it is a simple matter of multiplying 10 x 3 (pens times Rs) and adding this result to 12 x 1 (pencils x Rs):
30 + 12 = 42
So if 3 pens and five pencils cost Rs 14, then 10 pens and 12 pencils will cost Rs 42.
3 pens = 15₹
x pens = ?
15×x/3= 5x is cost of x pens