ElegantEmerald
25.03.2021 •
Mathematics
A person has 28 coins, all dimes and quarters, worth $4.60. How many quarters are there?
16
18
12
Solved
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Ответ:
Remember that a dime is worth 10 cents and a quarter is worth 25 cents and $4.60 is 460 cents.
Let D = the number of dimes and Q = the number of quarters.
Now let's translate the English into math. . .
there are 28 coins in all--> D + Q = 28 so D = 28 - Q
they are worth 460 cents--> 10D + 25Q = 460
Now substitute 28-Q for D--> 10(28-Q) + 25Q = 460
280 - 10Q + 25Q = 460
Combine like term. . .
15Q = 180
Divide both sides by 15--> Q = 12
So D = 16
Ответ:
12
Step-by-step explanation:
D=dimes Q=quarters
D+Q=28 so D=28-Q
460=10D+25Q
substitute 28Q for D
10(28-Q)+25Q=460
280-10Q+25Q=460
combine like terms
15Q=180
divide both sides by 15 so Q= 12 and D=16
(I believe this is the correct answer)
Ответ:
A) children attended=98 b) students attended=60 c)adults attended=49
Step-by-step explanation:
system%28a%2Bc%2Bx=207%2Cc%2Fa=2%2C5c%2B7x%2B12a=1498%29
Simplify and solve the system.
-
a%2B2a%2Bx=207
3a%2Bx=207
x=207-3aandc=2a
-
The revenue equation can be written in terms of just one variable, a.
10a%2B7%28207-3a%29%2B12a=1498
Solve for a;
use it to find x and c.
FURTHER STEPS
-
10a%2B1449-21a%2B12a=1498
a%2B1449=1498
a=98-49
highlight%28a=49 adults
-
c=2a
c=2%2A49
highlight%28c=98 children
-
x=207-a-c
x=207-49-98
highlight%28x=60 students