Roger gets $40 per day as wages and $4.50 as commission for every pair of shoes he sells in a day. his daily earnings goal is $112. write an equation to determine how many pairs of shoes, p, roger must sell a day to meet his daily earnings goal, and find the number of pairs of shoes he must sell to meet his daily earnings goal.

Solve the problem by using a venn diagram a group of students were surveyed about their taste in music.they were asked how they like three types of music: rock, country western and jazz.the results are summarized below: no one dislikes all three types of music.six like all three types of music.eleven don’t like country western.sixteen like jazz.three like country western and jazz, but not rock.six don’t like rock.eight like rock and country western.seven don’t like jazz.how many students were surveyed?