Write a system of linear inequalities illustrating the following situations.
1. Nathan wants to buy fruits with the total maximum weight of 5
kilograms from Php 600 that his mom gave him. He wanted to buy
bananas(b) at Php 70 per kilo and mangoes at Php 120 per kilo.
2. There are at most 305 marbles in a jar. The first(x) and second (y) kind weighs 4 kilograms and 5 kilograms, respectively. their total weight does not exceed 1.3 kg.
3. Each study kit given by a non-government organization has at least
10 items consisting of notebooks(n) and pad papers(p) with a total
amount of at least Php 450.
Answers
Given :
1. Nathan wants to buy fruits with the total maximum weight of 5 kilograms from Php 600 that his mom gave him.
He wanted to buy bananas(b) at Php 70 per kilo an d mangoes at Php 120 per kilo.
2. There are at most 305 marbles in a jar. The first(x) and second (y) kind weighs 4 kilograms and 5 kilograms, respectively. their total weight does not exceed 1.3 kg.
3. Each study kit given by a non-government organization has at least
10 items consisting of notebooks(n) and pad papers(p) with a total
amount of at least Php 450.
To Find : Write a system of linear inequalities
Solution:
Nathan wants to buy fruits with the total maximum weight of 5 kilograms from Php 600 that his mom gave him.
He wanted to buy bananas(b) at Php 70 per kilo an d mangoes at Php 120 per kilo.
70b + 120d ≤ 600
b + d ≤ 5
There are at most 305 marbles in a jar. The first(x) and second (y) kind weighs 4 kilograms and 5 kilograms, respectively. their total weight does not exceed 1.3 kg.
x + y ≤ 305
4x + 5y ≤ 1.3
correct Question should be weight 4g and 5 g
then 4x + 5y ≤ 1300
Each study kit given by a non-government organization has at least
10 items consisting of notebooks(n) and pad papers(p) with a total
amount of at least Php 450.
n + p ≥ 10
second inequality can not be created as prices are not given
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