You spend $24 on 21 pounds of apples. you purchase 2 pounds of golden apples for $1.25 per pound. red delicious apples cost $1.00 per pound and empire apples cost $1.50 per pound. how many pounds of each type of apple did you purchase?

2 pounds of Golden Apples

5 pounds of Empire Apples

14 pounds of Red Apples

Step-by-step explanation:

2 pounds of golden apple for 1.25 per pound = 2 * 1.25 = $2.50 spent

24 - 2.5 = $21.5 left for red apples and empire apples

Also, 2 pounds of 21 pounds gone, so 19 pounds left

Now,

let number of red apples be r and number of empire apples be e

So, we can write:

r + e = 19  [also r = 19 - e]

and

1r + 1.5e = 21.5

Putting #1 in #2 equation, we solve for e:

Thus, r = 19 - e, 19 - 5 = 14

So,

2 pounds of Golden Apples

5 pounds of Empire Apples

14 pounds of Red Apples

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

$650 per month plus utilities

step-by-step explanation:

just based on the info you gave, it would seem more cost effective to rent at $650 per month plus utilities.   if utilities are, in fact, $150 per month, your monthly living costs would be $800 as opposed to the other option of $825.