[Video] Q16: For what number of days, x, will the total cost of buying the materials and renting the tools from store b be less than or equal to the total cost of buying the materials and renting the tools from store a ?

Explanation for Question 16 From the Math (Calc) Section on the Official Sat Practice Test 4

So now, if we're looking at number 16, 2 we see that we have a chart, right? It's about building and concrete patio 3 and the materials. And so the table shows the costs and the different stores 4 associated with the costs. And here is a function that gives us, 5 um, the cost, right? Where M is materials w is wheelbarrow, 6 K is the mixer and X is the number of days, 7 right? And so we need to know for what number of days will the 8 total cost of buying the materials and renting tools from store B be 9 less than or equal to the total cost from a right. 10 So essentially we have store B needs to be less than or equal to 11 store a, and we know that the equation that we're going to want to 12 use for both stores is M plus w plus K times X. 13 Right? So for looking at store B R M is 600, 14 plus our wheelbarrow was 25. 15 Um, RK was 80 and we're going to solve for X, 16 right. We don't know what X is yet. Move this down here. 17 All right. And so that needs to be less than or equal to the 18 same for store a right. So store a, 19 the materials was seven 50 plus our wheelbarrow was 20 15 and our mixer was 65 again, 21 times X. So now what we need to do that we have our equation 22 set up is we need to simply solve for X, 23 right? So we can start by distributing the X from both of these are 24 actually perhaps an even faster way. It's going to be the combined like terms 25 right here, right. What's 25 plus 80. 26 Um, that is going to be 105, right? 27 So we really have 600 plus 1...