Ms James buys x calculators and y folders to sell, she must buy at least 5 calculators,the folders she buys must be at least twice the number of calculators and if each calculator cost $20 and foldr $5 and she cant spend more than $300, write inequalities to represnt all this info.
1)x more than or equal to 5
2)2y is more than or equal to x
3)20x+5y is less than or equal to 300
your second one is backwards, it said
"..the folders she buys must be at least twice the number of calculators", so ...
y ≥ 2x
The inequalities to represent all this information are:
1) x ≥ 5 (Ms James must buy at least 5 calculators)
2) 2y ≥ x (The number of folders she buys must be at least twice the number of calculators)
3) 20x + 5y ≤ 300 (Ms James cannot spend more than $300 on calculators and folders)
To write the inequalities representing the given information, we can follow these steps:
1. The first inequality states that Ms. James must buy at least 5 calculators, which can be written as:
x ≥ 5
2. The second inequality states that the number of folders she buys must be at least twice the number of calculators, so we can write:
2y ≥ x
3. The third inequality mentions the cost constraints. Calculators cost $20 each, while folders cost $5 each. The total cost of calculators and folders should not exceed $300. Therefore, we can write:
20x + 5y ≤ 300
So, the inequalities representing the given information are:
1) x ≥ 5
2) 2y ≥ x
3) 20x + 5y ≤ 300