Rachel has 60 scones. She sells them to Robbie, Cameron, Louis, Tom and Charlie in that order. Each customer buys more scones th
an the last and the increase is the same number in each case. Robbie and Cameron’s combined total number of scones is three sevenths of the total of Louis, Tom and Charlie. How many scones does each boy buy?
5) Now you just have to solve this simple system of equations:
x + 2d = 12
x = 2d
Subitituing x for 2d in the first equation: x + x = 12 => 2x = 12 => x = 6
Now replace x = 6 in any of the two equations and you get the value of d.
For example, from x = 2d => d = x / 2 = 6 /2 = 3.
6) Finally, calcualte the number of cones of each:
</span> Result <span><span>Robbie: x 6 Cameron: x + d 6 + 3 = 9 Louis: x + d + d = x + 2d 9 + 3 = 12 Tom: x + 2d + d = x + 3d 12 + 3 = 15 Charlie</span> x + 3d + d = x + 4d</span> 15 + 3 = 18 ----------------------------------------- Total 6 + 9 + 12 + 15 + 18 = 60
If that 40% is how many are occupied then- 100 are occupied 150 are vacant if that 40% is how many are vacant then- 100 are vacant and 150 are occupied
1 1/2 miles is the same as walking 1/2 a mile 3 times, so we can divide 22.5 minutes by 3 to find how long it takes to walk half a mile 22.5/3=7.5 We can then multiply 7.5 by 2 to get how long it takes to walk 1 mile 7.5 x 2 = 15 minutes It takes Avante 15 minutes to walk 1 mile
If x is an exponent and 1.01 its base then we are looking at a case of compound increments and the profit can be said to be earning compound interest at a rate of 1%. The profit of the store after 6 months is found by simply substituting x with 6 in the equation of p; p = 10500(1.01)^6
