Question

Two men and a machine were picking oranges on a farm. One man picked x amount

oranges. The second man picked 12 less than the first. The machine picked three
times the second man. How many oranges did each pick if the total amount of
oranges picked is 332?

Answer 1

To solve this problem, assign variables to represent the number of oranges picked by each person and set up equations based on the given information. Substitute the value of y and z in terms of x into the total equation and solve for x. Then use the values of x to find y and z.

Step-by-step explanation:

Let's assign variables to represent the number of oranges picked by each person. Let x be the number of oranges picked by the first man, y be the number of oranges picked by the second man, and z be the number of oranges picked by the machine.

We know that the second man picked 12 less than the first man, so y = x - 12.

We also know that the machine picked three times the second man, so z = 3y.

The total number of oranges picked is given as 332, so we can write the equation: x + y + z = 332.

Using the given relationships and substitution method, we can solve these equations to find the value of x, y, and z.

Answer 2

The equation to represent the situation is like so:

`x+(x-12)+3(x-12)=332`

Simplify.

`x+x-12+3x-36=332`

`5x-48=332`

`5x-380=0`

Solve for the variable x.

`5x=380`

`x=76`

`first\ man =x\\second\ man =x-12\\machine=3(x-12)`

`first\ man=76\\second\ man=64\\machine=192`

Verify.

`x+(x-12)+3(x-12)=332`

`76+(76-12)+3(76-12)=332`

`76+64+192=332`

`332=332`

`LS=RS`