Algebra 2 math question

Question

the ratio of diners to snackers in the food court was 4 to 7 if there were 148 diners, how many snackers were there?

Answer 1

diners/snackers = 4/7

Let x = number of snackers

4/7 = 148/x

solve via simple crisscross

4(x) = 7(148)

x = 259

Answer 2

4 diners 148 diners (120 + 28) diners (4*30 + 4*7) diners 4 * (30 + 7) diners

--------------------- = ------------------------- = ----------------------- = --------------------------- = ---------------------------

7 snackers X snackers X snackers X snackers X snackers

4 diners 4 * 37 diners 4 * 37 diners

--------------------- = ------------------------- = ----------------------- , so X = 7 * 37 = 210 + 49 = 259 snackers

7 snackers X snackers 7 * 37 snackers