How much caramel candies at $1.16 a pound should be mixed with lollipops worth 86¢ a pound in order to obtain a mixture of 60 pounds of candy worth a dollar a pound?

28 pounds of caramel candies

32 pounds of lollipops.

Step-by-step explanation:

Let x represent pounds of caramel candies and y represent pounds of lollipops.

We are told that the mixture contains 60 pounds of both. We can represent this information in an equation as:

We have been given that caramel candies costs $1.16 per pound, so cost of x pounds would be .

Each pound of lollipop worth 86¢ ($0.86), so cost of y pounds would be .

We are asked to obtain a mixture of 60 pounds of candy worth a dollar a pound. We can represent this information in an equation as:

From equation (1), we will get:

Upon substituting this value in equation (2), we will get:

Therefore, 28 pounds of caramel candies at $1.16 a pound should be mixed with lollipops.

Upon substituting in equation (1), we will get:

Therefore, 32 pounds of lollipops should be mixed to obtain the required mixture.

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

step-by-step explanation:

to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.