6. A coffee shop sells regular coffee for $2 a cup and specialty coffee for $4 a cup. If the coffee shop sells 100 cups of regular coffee and 50 cups of specialty coffee in one day, how many cups of each type of coffee would need to be sold for the revenue from both types to be equal?
Let x be the number of regular coffee cups sold and y be the number of specialty coffee cups sold. The equation would be:
2x + 4y = 4x + 2y
7. A grocery store sells apples for $1.50 per pound and oranges for $2 per pound. If a customer buys 5 pounds of apples and 3 pounds of oranges, how many pounds of each type of fruit would need to be bought for the cost of both types of fruit to be equal?
Let x be the number of pounds of apples bought and y be the number of pounds of oranges bought. The equation would be:
1.5x + 2y = 2x + 1.5y
1.Two pumps are filling large vats of liquid. One vat is empty, and the pump is filling it at a rate of 6 gallons per minute. The other is already filled with 10 gallons, and it is continuing to fill at a rate of 4 gallons per minute. Write an equation to show when the two vats will have an equal amount of liquid.
16x=10+4x
2. A yoga studio has two participation plans. For the first plan, the cost is $8 per visit. For the second plan, the cost is $40 per month, and $2 per visit. Write an equation to show the number of visits per month that it would take for the two plans to be equal. Use x as your variable.
18x=40+2x
3. A diner makes vanilla milkshakes and chocolate milkshakes. The vanilla milkshake machine has a 300-cup capacity, and sells 15 cups per day. The chocolate milkshake machine has a 280-cup capacity, and sells 20 cups per day. Write an equation to show when the two machines will have the same amount of milkshake left. Use x as your variable.
1300−15x=280−20x
4. Two pumps are filling large vats of liquid. One vat is empty, and the pump is filling it at a rate of 6 gallons per minute. The other vat already contains 28 gallons and is continuing to fill at a rate of 4 gallons per minute. When will the two vats have the same amount of liquid?
They will have the same amount of liquid after
114 min
5. A yoga studio has two participation plans. The first plan costs $10 per visit. The second plan costs $30 per month, and $4 per visit. How many visits would make the cost of both plans the same?
The plans would cost the same at 5 $$ visits.
1 answer
1 answer