1. Why not just see which one works?
Try 11. Is (3x13)+ 17 = 104? No
So, try the 23.
Is (3x25)+ 20 = 104? Yes
Choices: 11, 17, 19, 23, 27
2. How old is David if his age 6 years from now will be twice his age 7 years ago?
3. If the value of n nickels plus d dimes is c cents, what is n in terms of d and c?
Thank you so much! It'll mean a lot to me if you answer all three of these questions!
Try 11. Is (3x13)+ 17 = 104? No
So, try the 23.
Is (3x25)+ 20 = 104? Yes
x + 6 = 2x - 7
3.
n + d = c
n = c - d
5n + 10d = c
5n = c - 10d
n = c/5 - 2d
Now, according to the problem, the sum of 3 times the second integer (3(x + 2)) and the greatest integer (x + 6) is 104. We can write this as an equation:
3(x + 2) + (x + 6) = 104
Now, solve this equation to find the value of x, which will be the least integer in the set.
2. To find David's current age, we need to set up an equation using the information given. Let's call David's current age x.
According to the problem, David's age 6 years from now will be twice his age 7 years ago. We can write this as an equation:
x + 6 = 2(x - 7)
Now, solve this equation to find the value of x, which will be David's current age.
3. To find the value of n in terms of d and c, we need to consider the information given. The problem states that the value of n nickels plus d dimes is equal to c cents.
A nickel is worth 5 cents, so the value of n nickels would be 5n cents. Similarly, a dime is worth 10 cents, so the value of d dimes would be 10d cents.
According to the problem, the sum of these values is equal to c cents. We can write this as an equation:
5n + 10d = c
Now, solve this equation to express n in terms of d and c.