Jim have the shopkeeper six coins that totaled 38 cent for a balloon what were the six coins

We are given that

Shopkeeper has six coins

total number of coins = 6

we know that

there are four types of coins

(1) cents

1 cent = 1 cent

(2) nickels

1 nickel = 5 cents

(3) dimes

1 dimes = 10 cents

(4) quarters

1 quarter = 25 cents

so, we can use trial and error method

Since, nickels, dimes and quarter are multiple of 5

and there 38 cents

so, three coins must be cent

number of cent coins = 3

so, the remaining cent = 38-3=35

so, possible coins can be 1 quarter and 2 nickels

1 quarter + 2 nickels = 25+2 (5) = 35

so, coins were

Number of cents = 3

Number of nickels = 2

Number of dimes = 0

Number of quarter = 1 ... Answer