Question

Kelly has 4x as much money as Joey. After Kelly uses some money to buy a racquet, and Joey uses $30 to buy shorts, Kelly has twice as much money as Joey. If Joey started with $98, how much money does Kelly have? what does the racquet cost?

Answer 1

Answer:

how much money does Kelly have? $392

what does the racquet cost ? $256

Step-by-step explanation:

Kelly has 4x as much money as Joey

k = 4 * j

Kelly uses some money(x) to buy a racquet ==>  k - x

Joey uses $30 to buy shorts ==>  j-30

Kelly has twice as much money as Joey ==> k - x = 2(j - 30)

If Joey started with $98 ==> j= 98 ==> k = 392

how much money does Kelly have? ==> k = 392

what does the racquet cost (x)? ==>

392 - x = 2 (98-30)

392 - 2 * 68 = x ==> x = $256