Problema Solution
Debbie has 340 dimes in three boxes. She says that there are 4 times as many dimes in the first box as in the second and 3 times as many in the third as in the first. How much money does she have in each box?
Answer provided by our tutors
let 'x' represent the number of times in the second box, then '4x' represents the number of times in the first box and '3*4x' represents the number of dimes in the third box
first, we solve for how many dimes are in each box:
340 = x + 4x + 3*4x
340 = 17x
x = 340/17 = 20
4*20 = 80
3*4*20 = 240
the first box contains 80 dimes, the second box contains 20 times and the third box contains 240 dimes
80 * 0.10 = 8.00
20 * 0.10 = 2.00
240 * 0.10 = 24.00
the first box contains $8.00, the second box contains $2.00 and the third box contains $24.00