Caspar bought 8 more jelly donuts than chocolate donuts. He bought 5 times as many jelly donuts as chocolate donuts. How many chocolate donuts did Caspar buy

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Answer:

10 chocolate donuts were bought.

Step-by-step explanation:

Given data:

Caspar bought 8 more jelly donuts than chocolate donuts.

He bought 5 times as many jelly donuts as chocolate donuts.

In order for us to answer the we need to make equation from the statements given

Let jelly donuts be denoted by X

Let chocolate donuts be denoted by Y

From this statement 'Caspar bought 8 more jelly donuts than chocolate donuts.'

X +8 = Y  (equation 1)

From this statement 'He bought 5 times as many jelly donuts as chocolate donuts.'

5X = Y  (equation 2)

Solving simultaneous equations using the method of substitution.

Substituting equation 2 into equation 1

X + 8 = 5X

8 = 5X - X

8 = 4X (Making X the subject of formula by dividing both sides by 4)

2 = X

Substituting X into equation 2

Y= 5 * 2

Y = 10