Mariano delivers newspapers. He always puts 3/4 of his weekly earnings in his savings account and then divides the rest equally into 3 piggy banks for spending at the snack shop, the arcade, and the subway.a. What fraction of his earnings does Mariano put into each piggy bank?b. If Mariano adds $2.40 to each piggy bank every week, how much does Mariano earn per week delivering papers?
Accepted Solution
A:
Answer:a. Fraction of earnings that Mariano put into each piggy bank is 1/12
b. Mariano earns $28.8Step-by-step explanation:Mariano divides his earning in a saving account and 3 piggy banks. First , we have to know the fraction that we divide in the 3 piggy banks. Piggy banks =Total earning-Saving accountSaving account 3/4, Total earning is 1to rest both term we have to get the same denominator , so we can say that the total earning is 4/4Piggy banks =4/4-3/4=( 4-3)/4=1/4Piggy banks =1/4Each piggy bank will be 1/3 of that 1/41/3 x 1/4=For fraction multiplication, multiply the numerators and then multiply the denominators to get
1×1/3×4=1/12
This fraction cannot be reduced.
b. Mariano adds $2.40 1/12 is 2.40total earning is ?We use cross-multiplication
a/b=c/d replacing (1/12)/2.40 = 1/ ?So, the total earning (?) is 1 x 2.40/ (1/12)= 2.40 x 12=$28.8