Riley and her children went into a movie theater and he bought $51 worth of bag of popcorn and drink. Each bag of popcorn cot $5 and each drink cot $6. She bought twice a many drink a bag of popcorn. Determine the number of bag of popcorn and the number of drink that Riley bought



Answer :

The solution of the word problem that indicates that the number of drinks Riley bought ($6 per drink) is twice the popcorn she bought ($5 per popcorn) are as follows;

Riley bought 3 bags of popcorn and 2 drinks

What is a word problem?

A word problem consists of verbal sentences describing a scenario of a problem that will be resolved mathematically.

The amount of popcorn and drink Riley bought = $51

The price of each bag of popcorn = $5

The price of each drink = $6

The number of drinks Riley bought = 2 × The number of popcorn she bought

Let D represent the number of drinks Riley bought and let P represent the number of popcorn she bought, we get;

  • 6·D + 5·P = 51
  • D = 2·P

Therefore;

6 × 2·P + 5·P = 17·P = 51

P = 51/17 = 3

  • The number of bags of popcorn Riley bought, P = 3 Bags of popcorn

D = 2 × P

Therefore;

D = 2 × 3 = 6

  • The number of drinks she bought = 6 Drinks

Learn more about word problems in mathematics here:

https://brainly.com/question/25272317

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