The number of drinks is 6 and the number of pretzels is 10 that Abigail bought
Step-by-step explanation:
Abigail and her children went into a movie theater
- She bought $71.50 worth of drinks and pretzels
- Each drink costs $4 and each pretzel costs $4.75
- She bought a total of 16 drinks and pretzels altogether
We need to find the number of drinks and the number of pretzels that Abigail bought
Assume that she bought x drinks and y pretzels
∵ x represents the number of drinks
∵ y represents the number of pretzels
∵ Each drink costs $4
∵ Each pretzel costs $4.75
∵ she payed $71.50
- Multiply x by 4 and y by 4.75, then add the products and
equate the sum by 71.50
∴ 4x + 4.75y = 71.50 ⇒ (1)
∵ She bought a total of 16 drinks and pretzels altogether
- Add x and y, then equate the sum by 16
∴ x + y = 16 ⇒ (2)
Now we have a system of equations to solve it
Multiply equation (2) by -4 to eliminate x
∵ -4 x - 4y = -64 ⇒ (3)
- Add equations (1) and (3)
∴ 0.75y = 7.5
- Divide both sides by 0.75
∴ y = 10
- Substitute the value of y in equation (2) to find x
∵ x + 10 = 16
- Subtract 10 from both sides
∴ x = 6
The number of drinks is 6 and the number of pretzels is 10 that Abigail bought
Learn more:
You can learn more about the system of equations in brainly.com/question/3739260
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