7. logan and zoey went out to dinner. zoeys dinner bill was $5 more than one - half of logans bill. if the…
7. logan and zoey went out to dinner. zoeys dinner bill was $5 more than one - half of logans bill. if the total of the two bills combined was $60.26, what was zoeys dinner bill?\n8. the giants scored fourteen less than three times the number of points than the cowboys scored in their last football game. altogether, they scored 46 points. how many points did the cowboys score?\n9. adalyn has nine more than twice the number of skittles than morgan has. if twice the number of skittles that adalyn has is two more than five times the number of skittles that morgan has, how many does each girl have?\n10. the sum of two consecutive integers is 113. find the integers.\n11. the sum of two consecutive integers is 187. find the integers.
Answer
Explanation:
Step1: Let the first integer be (x).
The second consecutive integer is (x + 1).
Step2: Set up the equation.
The sum of the two consecutive integers is (x+(x + 1)=113). Simplify the left - hand side: (2x+1 = 113).
Step3: Solve for (x).
Subtract 1 from both sides: (2x=113 - 1=112). Divide both sides by 2: (x=\frac{112}{2}=56).
Step4: Find the second integer.
The second integer is (x + 1=56+1 = 57).
Answer:
The two consecutive integers are 56 and 57.
Explanation:
Step1: Let the first integer be (y).
The second consecutive integer is (y + 1).
Step2: Set up the equation.
The sum of the two consecutive integers is (y+(y + 1)=187). Simplify the left - hand side: (2y+1 = 187).
Step3: Solve for (y).
Subtract 1 from both sides: (2y=187 - 1=186). Divide both sides by 2: (y=\frac{186}{2}=93).
Step4: Find the second integer.
The second integer is (y + 1=93+1 = 94).
Answer:
The two consecutive integers are 93 and 94.