kassie an kesya are dividing $39 into two parts in order that the sum of 2/3 of one part and 3/4 of the other part is $28. What are the parts?
let one part be x, then the other part would be 39-x
now translate "the sum of 2/3 of one part and 3/4 of the other part is $28 " into Math.
(2/3)x + (3/4)(39-x) = 28 and solve
To find the parts that Kassie and Kesya divided, we can set up an equation based on the information given.
Let's say Kassie's part is represented by 'x' dollars, and Kesya's part is represented by '39 - x' dollars (since the total is $39).
According to the problem, the sum of 2/3 of Kassie's part and 3/4 of Kesya's part is equal to $28. We can calculate this by adding the two expressions together:
(2/3) * x + (3/4) * (39 - x) = 28
To solve this equation, we can multiply through by the least common denominator (LCD) of 3 and 4, which is 12. This eliminates the fractions:
12 * (2/3) * x + 12 * (3/4) * (39 - x) = 12 * 28
After simplifying, the equation becomes:
8x + 9(39 - x) = 336
Now, let's solve for x:
8x + 351 - 9x = 336
-x + 351 = 336
-x = 336 - 351
-x = -15
Dividing both sides by -1 gives us:
x = 15
Now that we have the value of x, we can find Kesya's part by subtracting x from the total amount:
39 - x = 39 - 15 = 24
Therefore, Kassie's part is $15 and Kesya's part is $24.