need help ASAP !!!!!!!!





"You go to deposit a check at the bank. By mistake, the bank accidentally reverses the cents and the dollars of the check. Before, you notice this, you spend 5 cents on a pack of gum on the way home. When you arrive home, you realize that you have twice as much as the correct amount printed on the check. What was the original amount of the check that you deposited?"


please explain (thanks)

need help ASAP You go to deposit a check at the bank By mistake the bank accidentally reverses the cents and the dollars of the check Before you notice this you class=

Respuesta :

Answer:

correct amount- 31.63

what you got- 63.31

Step-by-step explanation:

Im not good at explaining but i'll write out a step by step process

100b+.01a-.05=2a+2b

100b+.01a .05=2a+2b

100b-2b=2a- .01a+ .05

98b= 1.99a+ .05

b=  (1.99a+ .05)/98

a=31

b=.63

63.26 is twice as much as 31.63

we go to the same school btw :)