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

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.

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