Answer :
Sure, let's break down the solution step by step for each question.
### 1. Calculating the cost per kilo of rice:
You are given that [tex]$163.80 was paid for \(5 \frac{1}{4}\) kilos of rice. To find the cost per kilo, follow these steps:
1. Convert the mixed number to an improper fraction:
\[
5 \frac{1}{4} = 5 + \frac{1}{4} = \frac{20}{4} + \frac{1}{4} = \frac{21}{4}
\]
2. Calculate the cost per kilo:
Divide the total cost by the total kilos:
\[
\text{Cost per kilo of rice} = \frac{163.80}{\frac{21}{4}} = \frac{163.80 \times 4}{21} = 31.20
\]
So, the cost per kilo of rice is $[/tex]31.20.
### 2. Calculating the number of kilos of sugar bought:
You know that the sugar costs [tex]$26 per kilo and the total amount spent on sugar is $[/tex]201.50.
1. Calculate the number of kilos purchased:
Divide the total cost by the cost per kilo:
[tex]\[
\text{Kilos of sugar} = \frac{201.50}{26} = 7.75
\][/tex]
Thus, they bought 7.75 kilos of sugar.
These calculations give you the cost per kilo of rice as $31.20 and 7.75 kilos of sugar purchased.
### 1. Calculating the cost per kilo of rice:
You are given that [tex]$163.80 was paid for \(5 \frac{1}{4}\) kilos of rice. To find the cost per kilo, follow these steps:
1. Convert the mixed number to an improper fraction:
\[
5 \frac{1}{4} = 5 + \frac{1}{4} = \frac{20}{4} + \frac{1}{4} = \frac{21}{4}
\]
2. Calculate the cost per kilo:
Divide the total cost by the total kilos:
\[
\text{Cost per kilo of rice} = \frac{163.80}{\frac{21}{4}} = \frac{163.80 \times 4}{21} = 31.20
\]
So, the cost per kilo of rice is $[/tex]31.20.
### 2. Calculating the number of kilos of sugar bought:
You know that the sugar costs [tex]$26 per kilo and the total amount spent on sugar is $[/tex]201.50.
1. Calculate the number of kilos purchased:
Divide the total cost by the cost per kilo:
[tex]\[
\text{Kilos of sugar} = \frac{201.50}{26} = 7.75
\][/tex]
Thus, they bought 7.75 kilos of sugar.
These calculations give you the cost per kilo of rice as $31.20 and 7.75 kilos of sugar purchased.
