Sushil, Alex and Peter share some sweets in the ratio 6:5:1. Sushil gets 60 more sweets than Peter. How many sweets are there altogether?

There are 144 sweets altogether.

Step-by-step explanation:

Let us call:

S = Number of sweets Sushil's sweets

A = Number of sweets Alex' sweets

P = Number of sweets Peter's sweets

The ratio between them is S:A:P = 6:5:1. It must be separated as:

Or, equivalently:

5S = 6A        [1]

Also:

Or, equivalently:

A = 5P          [2]

We also know Sushil gets 60 more sweets than Peter:

S = P + 60     [3]

Solving for P:

P = S - 60     [4]

Substituting in [2]:

A = 5(S - 60) = 5S - 300     [5]

Substituting in [1]

5S = 6(5S - 300)

Operating:

5S = 30S - 1800

Rearranging:

25S = 1800

Dividing by 25:

S = 1800/25=72

S = 72

Substituting in [5]:

A = 5(72) - 300

A = 60

Substituting in [4]:

P = 72 - 60

P = 12

In total there are 72 + 60 + 12 = 144.

There are 144 sweets altogether.

1/5x+9 2/5y+7

step-by-step explanation:

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.