Answered

Erica and nicolle were running for class president. Their votes were a ratio of 5:7 respectively. If there were 48 pupils,how many did each get?

Sagot :

Representation:
Erica's votes:  5x
Nicolle's votes: 7x
Sum of their votes:  48

Equation:
5x + 7x = 48
12x = 48
12/x = 48/12
x = 4

Substitute 4 for x:
Erica's votes: 5x  ⇒  5(4) = 20 votes
Nicolle's votes: 7x  ⇒  7(4) = 28 votes

Erica got 20 votes, while Nicolle got 28 votes.

Check:
20 + 28 = 48
48 = 48