แผ่นงานWriting Systems of equations from Word Problems
คำถามทั้งหมด: 8
Michael spent $50 for 6 tigerfish and 8 goldfish. Shaun spend $5 more than Michael for 5 tigerfish and 10 goldfish. Write a system of equations that could be use the find t, the price of a tigerfish and g, the price of a goldfish.
8t+6g=50
10t+5g=55
6t+8g=50
5t+10g=45
6t+8g=50
5t+10g=55
8t+6g=50
10t+5g=45
Sarah enjoys cutting lawns and charges $20 for each small lawn and $30 for each large lawn she mows. Sarah earned $140 for mowing 6 lawns. Write a system of equations that could be used to find x, small lawns and y, large lawns Sarah mowed.
30x+20y=140
x+y=6
50(x+y)=140
x+y=6
20x+30y=140
x+y=6
x+y=140
x+y=6
The drama club is selling tickets to its play. The cost of an adult ticket is $4.50, and the cost of a student ticket is $2.50. The theater can hold 250 people and they want to make $1,005. Write a system of equations that could be used to find x, the number of adult tickets and y, the number of student tickets.
4.50x+2.50y=1,005
x+y=250
4.50x+2.50y=250
x+y=1,005
2.50x+4.50y=1,005
x+y=250
2.50x+4.50y=250
x+y=1,005
A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. Which system of equations could be used to find the number of toppings (x) when both companies cost (y) the same amount?
y = 6.80 + .65x
y=7.30+.90x
x + y = 6.80
x + y = 7.30
y = 6.80+.90x
y = 7.30 + .65x
y + .90x = 6.80
y + .65x = 7.30
Nancy went to the grocery story. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. Which system of equations represents the situation?
4x + 6y = 3
13.5x - 13y = 6
x + y = 4
x - y = 6
4x + 6y = 13
3x + 7y = 13.5
4x - 6y = 13
3x - 7y = 13.5
Caitlin won a bag full of money at the fundraiser party! She won 49 bills that amounted to $1430. The bills consist of twenty dollar bills and fifty dollar bills. Using x for number of $20 bills and y for number of $50 bills, which systems would help determine how many of each bill Caitlin has?
x + y = 1430
20x + 50y = 49
x + y = 49
10x + 5y = 1430
x + y = 49
20x + 50y = 1430
x + y = 49
x + y = 1430
4x + 2y = 44
x + y = 44
4x = y + 15
x - y = 15
Tania had 35 coins in pennies and nickels. She had $1.03. Which system of equations could be used to determine the number of coins she has?
.01p + .05n = 35
p + n = 103
1p + 5n = 1.03
p + n = 35
.01p + .05n = 1.03
p + n = 35
.05p + .01n = 1.03
p + n = 35
แป้นคำตอบWriting Systems of equations from Word Problems
คำถามทั้งหมด: 8
6t+8g=50
5t+10g=55
20x+30y=140
x+y=6
4.50x+2.50y=1,005
x+y=250
y = 6.80+.90x
y = 7.30 + .65x
4x + 6y = 13
3x + 7y = 13.5
x + y = 49
20x + 50y = 1430
4x + 2y = 44
.01p + .05n = 1.03
p + n = 35