You need 2 3/4 wheelbarrows of sand to make 8 wheelbarrows of concrete. how much sand will you need to make 248 cubic feet of concrete

a. 84 cubic feet
b. 85 1/4 cubic feet
c. 682 cubic feet
d. not enough info

Option B.

Step-by-step explanation:

We need wheelbarrows of sand for 8 wheelbarrows of concrete.

That means ratio between sand and concrete is

Or

Now we have to calculate the amount of sand to make 248 cubic feet of concrete.

If the amount of sand required is x cubic feet then the ratio of sand and concrete will be x : 248.

Since both the ratios should be same therefore,

x =

x =

x =

  = cubic feet

Option B will be the answer.

Linda Sent 32 messages, Aldo sent 23 messages and Tom sent 92 messages.

Step-by-step explanation:

Let number of messages sent by Linda=l

Let number of messages sent by Aldo=a

Let number of messages sent by Tom=t

Linda, Aldo and Tom sent a total of 147 messages

t+a+l=147(i)

If Tom sent 4 times as many messages as Aldo,

t=4a (ii)

Linda Sent 9 more messages than Aldo

l=a+9(iii)

We are required to find the number of messages each sent i.e. l, a and t

Substituting Equations (ii) and (iii) into (i)

t+a+l=147

4a+a+(a+9)=147

6a+9=147

6a=147-9

6a=138

a=138/6=23

From (ii). t=4a

t=4X23=92

From (iii), l=a+9=23+9=32

Therefore:

Linda Sent 32 messages, Aldo sent 23 messages and Tom sent 92 messages.