Pablo used 5/12 of his money to buy some caps and 3/7 of the remainder to buy 3 jackets. A jacket costs 5 times as much as a cap. How many caps did he buy?

Answer 1

Let m be the amount of money Pablo has

he uses (5/12)m to buy caps. The remaining amount would be (7/12)m. He used only 3/7 of this remaining amount to buy 3jackets. (Hint- of means multiply)

cost of 3 jackets = (3/7)*(7/12)m

when you simplify you get

cost of 3 jackets = (1/4)m

Divising by 3,

cost of 1 jacket = (1/12)m

with this amount you can buy 5 caps because 1 jacket costs as much as 5 caps

Cost of 5 caps = (1/12)m

Dividing by 5

cost of 1 cap = (1/60) m

pablo used (5/12)m to buy caps. Divide that coat by the coat of 1 cap to get the total number of caps

number of caps= (5/12)m / (1/60)m

solving you will get 25

ans is 25

check work

you can check your work by assuming Pablo had $120 to begin with, and you’ll find that cost do caps is $2, and cost do a jacket would be $10.