Let C be the amount of compost
T be the amount of topsoil
Each compost cost = $25
Cost of C compost = 25C
Each topsoil cost = $15
Cost of T topsoil = 15T
Amount of compost + amount of topsoil = 10
C + T = 10 -------> Equation 1
cost of C compost + cost of T topsoil = 180
25C + 15T = 180 --------> equation 2
Solve the first equation for C
C + T = 10
C = 10 - T
Now plug it in second equation
25C + 15T = 180
25 ( 10 - T) +15T = 180
250 - 25T + 15T = 180 (combine like terms)
250 - 10 T = 180 (Subtract 250 on both sides)
-10T = 180 - 250
-10T = -70 ( divide by -10 on both sides)
T = 7
She purchased 7 cubic yards of topsoil .
Answer:
64 cherries
Step-by-step explanation:
Given that
There are 280 pieces of fruit in a fruit salad
There are twice as many raspberries as blueberries,
three times as many grapes as cherries,
and four times as many cherries as raspberries
We need to find out the number of cherries in the fruit salad
So,
Let us assume the blueberries be x
So, the raspberries be 2x
Cherries be 8x
And, grapes be 24x
Now
x + 2x + 24x + 8x = 280
35x = 280
x = 8
hence, the No of cherries in the salad
= 8 x
= 8(8)
= 64 cherries
Answer:
e = 4796
Step-by-step explanation:
given,
mean of five distinct positive number = 1000
median of the number = 100
100 is median means two number will be less than 100 and two number will be greater than 100.
let five number be
a , b, c, d, e
'e' should be the largest number
As 100 is median so 'c' = 100.
'a' and 'b' should be as small as possible and d should be the number nearest to 100.
As all the number are distinct so the least number be equal to 1 and 2
now d will be equal to 101 (nearest to 100)
now,
sum of the five number = 5 x 1000 = 5000
a + b + c + d + e = 5000
1 + 2 + 100 + 101 + e = 5000
e = 5000 - 204
e = 4796
hence, the largest number will be equal to e = 4796
