Question

3) 1) If 120 people attend a concert and tickets for adults cost $2.5 while tickets for children cost $2 and total receipts for the concert was $268.5, how many of each went to the concert?

adults

children

2) Andrew invests $8800 in two different accounts. The first account paid 12 %, the second account paid 10 % in interest. At the end of the first year he had earned $982 in interest. How much was in each account?

$ at 12 %

$ at 10 %

James invests $6300 in two different accounts. The first account paid 4 %, the second account paid 7 % in interest. At the end of the first year he had earned $342 in interest. How much was in each account?

$  at 4 %

$  at 7 %

Answer 1

3. Let number of Adults = x

SO number of children is = 120 - x

Cost of Adult ticket is $2.5 and cost of children ticket is $2.

So we can write:

Number of Adults = 57

Number of children = 120-57 = 63

2. Let he invested $x in first account

SO in second account he invested = 8800 - x

Interest earned by first account is = 0.12*x*1 = 0.12x

Interest earned by second account is = 0.10*(8800 - x)*1 = (880-0.1x)

So we can write:

So he invested $5100 in first account and in second account he invested $3700.