Question

there are 25 dimes on one pan of a pan balance and 18 dimes on the other. to make the pans balance, asher thinks 5 dimes should be added to the higher pan, isaac thinks 6 dimes should be added, and charlotte thinks 7 dimes should be added. use the equation 25 = 18 + d to determine who is correct.

dropdown is correct because the value box makes the equation dropdown

Explanation:

Step1: Understand the equation

The equation should be \(25 = 18 + d\) (to balance the pans, the number of dimes on both sides should be equal). We need to solve for \(d\).

Step2: Solve for \(d\)

Subtract 18 from both sides of the equation \(25 = 18 + d\). So, \(d=25 - 18\). Calculating \(25-18\) gives \(d = 7\)? Wait, no, wait: Wait, the higher pan is the one with 18 dimes. So we need \(18 + d=25\). So \(d = 25 - 18=7\)? Wait, no, wait, 25 - 18 is 7? Wait, 18 + 7 is 25. Wait, but let's check again. Wait, the problem says "the equation 25 = 18 + d". So solving for d: \(d=25 - 18 = 7\)? Wait, no, 25-18 is 7? Wait, 18+7=25. But wait, Asher says 5, Isaac 6, Charlotte 7. Wait, maybe the equation was mistyped? Wait, maybe the correct equation is \(25=18 + d\), so \(d = 25 - 18 = 7\)? Wait, no, 25-18 is 7? Wait, 18+7=25. So Charlotte thinks 7, so Charlotte is correct. Wait, but let's recalculate: 25 - 18 = 7. So \(d = 7\) makes \(18 + 7 = 25\), so the equation \(25 = 18 + 7\) is true.
Wait, but maybe I misread. Wait, the problem says "Use the equation 25 = 18 + d". So solving for d: \(d = 25 - 18 = 7\). So Charlotte is correct because d=7 makes 25=18+7 (true).

Wait, but let's check the numbers again. 25 dimes on one pan, 18 on the other. To balance, we need to add d dimes to the 18 pan so that 18 + d = 25. So d = 25 - 18 = 7. So Charlotte (who thinks 7) is correct.

Answer:

Charlotte is correct because the value \(7\) makes the equation \(25 = 18 + 7\) true.