3. At a bargain store, Tanya bought 3 items that each cost the same amount. Tony bought 4 items that each cost the same amount, but each was $2.25 less than the items that Tanya bought. Both Tanya and Tony paid the same amount of money. What was the individual cost of each person's items?
(a) Write an equation. Let x represent the cost of one of Tanya's items.
(b) Solve the equation. Show your work.
(c) Check your solution. Show your work.
(d) State the solution in complete sentences
Answers
X=cost of one of Tanya´s items.
Tanya spent: 3x
Tony spent:4(x-2.25)
We can suggest this equation:
3x=4(x-2.25)
We solve this equation:
3x=4(x-2.25)
3x=4x-9
3x-4x=-9
-x=-9
x=9
The individual cost of each person´s item would be:
cost of one of Tanya´s items=x=9
Cost of one of Tony´s items=(x-2.25)=6.75
Answer: the cost of one of Tanya´s items was $9, and the cost of one of Tony´s items was $6.75, the equation used was [ 3x=4(x-2.25) ] .
We check it out our answer:
Tanya spent: 3x=3(9)=27
Tony spent:4(x-2.25)=4(9-2.25)=4(6.75)=27
Because Tanya spent the same amount of money than Tony, and Tanya bought 3 items and Tony bought 4 items, this solution is right
Read more on Brainly.com - https://brainly.com/question/1928921#readmore
X=cost of one of Tanya´s items.
Tanya spent: 3x
Tony spent:4(x-2.25)
We can suggest this equation:
3x=4(x-2.25)
We solve this equation:
3x=4(x-2.25)
3x=4x-9
3x-4x=-9
-x=-9
x=9
The individual cost of each person´s item would be:
cost of one of Tanya´s items=x=9
Cost of one of Tony´s items=(x-2.25)=6.75
Answer: the cost of one of Tanya´s items was $9, and the cost of one of Tony´s items was $6.75, the equation used was [ 3x=4(x-2.25) ] .
We check it out our answer:
Tanya spent: 3x=3(9)=27
Tony spent:4(x-2.25)=4(9-2.25)=4(6.75)=27
Because Tanya spent the same amount of money than Tony, and Tanya bought 3 items and Tony bought 4 items, this solution is right