(2/5)(x-1)<(3/5)(x+1) perform indicated multiplications
(2x-2)/5<(3x+3)/5 multiply both sides by 5
2x-2<3x+3 add 2 to both sides
2x<3x+5 subtract 3x from both sides
-x<5 divide both sides by -1 (remember to reverse direction of inequality sign when multiplying/dividing by a negative value)
x>-5
Answer: 6 people ordered for the lobster dinner.
2 people ordered for the steak dinner.
Step-by-step explanation:
Let x represent the number of people that ordered the lobster dinner.
Let y represent the number of people that ordered the steak dinner.
A family of 8 went out to dinner. This means that
x + y = 8
Each person either ordered the lobster dinner, which costs $25, or the steak dinner which cost $20. The total cost of all the meals is $190. This means that
25x + 20y = 190 - - - - - - - - - -- -1
Substituting x = 8 - y into equation 1, it becomes
25(8 - y) + 20y = 190
200 - 25y + 20y = 190
- 25y + 20y = 190 - 200
- 5y = - 10
y = - 10/ - 5
y = 2
x = 8 - y = 8 - 2
x = 6
Answer:
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Answer:
3 1/2 yards
Step-by-step explanation: