The art teacher asked her students to cut out 1045 apples and 1463 leaves from construction paper five apples can be cut from a sheet of paper 7 Leaves can be cut from a sheet of paper how many sheets of paper does she need write equation to find the unknown then find the unknown

Equation is 5x + 7y = 2508

418 sheets of paper required

Step-by-step explanation:

Now according to the given data, we know that we have to cut 1045 apples and 1463 leaves. We also know that 5 apples can be cut from single paper and 7 leaves can be cut from single paper.

Assume paper required for apples is x and paper required for leaves is y

Now, for apples,

1045/5 = x or 5x = 1045, so x = 209

For leaves

1463/7 = y or 7y = 1463 = 209

Total number of sheets required

x + y

209 + 209 = 418

So, if we need to know total number of papers, we need to combine both equations

5x + 7y = 1045 + 1463

5x + 7y = 2508

From each construction paper number of apples can be cut = 5.

From a sheet of paper number of leaves can be cut = 7.

Let us assume number of construction paper required = x.

Therefore, x construction paper would cut out = 5x apples.

But we need to cut total 1045 apples.

Therefore, we can setup first equation as:

5x = 1045.

Dividing both sides by 5, we get

5x/5 = 1045/5

x=209.

Let us assume number of sheet of paper required = y.

Therefore, y number of sheet of paper would cut out = 7y.

But we need to cut total 1463 leaves.

Therefore, we can setup second equation as:

7y = 1463.

Dividing both sides by 7, we get

7y/7 = 1463/7

y = 209.

Therefore,

We got two equations 5x = 1045 and 7y = 1463. From those equations we can get 209 construction paper and 209 sheets of paper required to cut out 1045 apples and 1463 leaves.