Question

4- Frank sold two lots for $62,000. If one lot sold for $48,000 more than the other what was the price of each lot? Label with $ and round to the nearest dollar. Remember, all numbers > 999 must use comma(s).

Lot 1

Lot 2

5- Peggy paid her $85.00 electric bill with fives and tens. If there were 12 bills, how many were there of each denomination?

five dollar bills

ten dollar bills

6- Tickets for a football game cost $1.25 for students and $2.50 for others. If 10,000 tickets were sold and $22,500 received how many of each kind of ticket was sold?

student tickets

other tickets

7- Connoisseur Coffee Co. blends coffee costing $4.04 per pound with coffee costing $1.80 per pound to produce a brand costing $2.60 per pound. If a total of 140 pounds is blended, how many pounds of each were used?

pounds at $4.04

pounds at $1.80

8- Alice earned three times as much in commissions as Jerry but only ½ as much as Tom. If the total commissions for all three were $4,200, how much did each earn? Label with $ and round to the nearest dollar.

Alice's commission
Tom's commission
Jerry's commission

9- An airline offered a plan whereby the wife’s fare was 2/3 that of the husband, and a child’s fare was ½ of the father’s fare. The total fare for a married couple with three children was $304. Find the fare of each family member. Label with $ and round to the nearest dollar.

wife's fare
husband's fare
each child's fare

Answer 1

4)Let the price of Lot 1 be x and of Lot 2 be y.

x+y=$62000

Given,one lot costs $48000

x=$48000

y=$62000-$48000=$14000

Lot 1:$48000

Lot 2:$14000

5)Let the number of fives be x and the number of tens be y.

$5x+$10y=$85

x+2y=17

x+y=10

x+2y-x-y=y=17-10=7

x+7=10

x=3

Five dollar bills:3

Ten dollar bills:7

6)Let the number of students be x and the others be y.

x+y=10000

$1.25x+$2.5y=$22500

x+2y=18000

x+2y-x-y=y=18000-10000=8000

x+8000=10000

x=10000-8000=2000

Students ticket:2000

Others ticket:8000

7)Let the amount of coffee costing $4.04 pounds be x and $1.80 pound be y.

1.80x+4.04y=2.60(x+y)

1.44x=0.80y

y=1.8x

x+y=140

2.8x=140

x=50

y=1.8*50=90

50 pounds of $4.04 per pound coffee were used and 90 pounds of $1.80 per pound coffee were used.

8)Let the commission earned by Jerry be x ,Alice be 3x and Tom be 6x.

x+3x+6x=$4200

10x=$4200

x=$420

y=$1260

z=$2520

Alice's commission:$1260

Tom's commission:$2520

Jerry's commission:$420

9)Let the cost of husband ticket be x ,wife's ticket be 2/3x and children ticket be 1/2x

x+2/3x+3/2x=$304

(6+4+9)/6 x=$304

17x=$6*304

x=$6*16=$96

2/3 x=2/3*$96=$64

1/2 x=1/2*$96=$48

Wife's fare:$64

Husband's fare:$96

Child's fare"$48.