Prizes at Carnival Game Booths

At a school carnival, there are two types of game booths: ring toss and dart throw. The ring toss booth has 3 times as many prizes as the dart throw booth.

After all the prizes from the dart throw booth were given away, the remaining prizes at the ring toss booth were still enough to give each participant 4 prizes, with 10 prizes left over. If the dart throw booth originally had $x$ prizes, how many prizes were there in total at the ring toss booth?