The number of large ones is 30 greater than 3 times the number of small ones the ratio of small to large is 1 to 6 what is the number of large ones

Question

The ratio of small to large was 1 to 6

Answer 1

let L is the number of large and S is the number of small, thren we have: L - 3S = 30 (1) and S/L=1/6 (2)

solving the (1) for L we get L = 30 + 3S substituting this value of L to (2) we get S/(30+3s) = 1/6

and 30+3S = 6S  --->>>  30 = 3S  And S = 10 sustituting this value os S to (1) we get L=60