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Help with word problems!
Need help with 6 & 7. Thanks!

Help with word problems! Need help with 6 & 7. Thanks!-example-1
User Grabofus
by
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1 Answer

4 votes

Answer:

Part 6) Option B $3.20

Part 7) Option C. 8,295 students

Explanation:

Part 6)

Let

x -----> the cost of one hamburger

y ----> the cost of one soda

we know that

7x+3y=27.95 ------> equation A

5x+4y=23.40 ----> equation B

Solve the system by graphing

Remember that the solution by graphing is the intersection point both graphs

using a graphing tool

The solution is the point (3.2,1.85)

see the attached figure N 1

therefore

The cost of one hamburger is $3.20

Part 7)

Let

x -----> the number of students

y -----> the number of teachers

we know that

x=35y ------> equation A

x+y=8,544-12

x+y=8,532 -----> equation B

Solve the system by substitution

substitute equation A in equation B and solve for y

35y+y=8,532

36y=8,532

y=237 teachers

Find the value of x

x=35y ------> x=35(237)=8,295

therefore

The number of students is 8,295

Help with word problems! Need help with 6 & 7. Thanks!-example-1
User John Offenhartz
by
7.3k points