Unit rate means one. So the best way to solve this is using a proportion over one. If there are 258 pencils in 3 purses 258/3 then how many are in one purses x/1. Cross multiply next.
258/3 * x/1. You get 3x and 258. To get the x alone, divide both sides by three. Your answer is 86 pencils in one purse.
Answer:
8 feet
12 inches equals 1 foot, so 8 inches is a lot smaller than 8 feet.
I'll go by boxes (top statement box is #1, top reason box is #2, etc.)
If you don't have enough boxes, you can omit (remove) the first 2 I wrote, which is the given
1. 8y = 9x - 14; y = 5
2. Given
3. 8(5) = 9x - 14
4. Substitution
5. 40 = 9x - 14
6. Simplification (or multiplication)
7. 54 = 9x
8. Additive property of equality
9. 6 = x
10. Division property of equality
11. x = 6
12. Symmetrical property of equality
Hope this helps (:
Lets check...
42/56 = 56/64
cross multiply
(56)(56) = (42)(64)
3136 = 2688...(incorrect)...these are not proportional
proportions are nothing but equivalent fractions
42/56 = 3/4
56/64 = 7/8
as u can see, they are not equivalent fractions...so they are not proportional
£350 because 420/6 is 70 and 70*5 is 350
