Question 604883
the forest service must determine how many acres will be needed to make an addition of twenty-two campsites.
 if the existing 24-acre campground accommodates fifty-five campsites, how many additional acres will be needed?
:
We can use a ratio equation here. Let a = no. of additional acres required
:
{{{((a+24))/24}}} = {{{((22+55))/55}}}
:
{{{((a+24))/24}}} = {{{77/55}}}
Cross multiply
55(a+24) = 24 * 77
55a + 1320 = 1848
55a = 1848 - 1320
55a = 528
a = 528/55
a = 9.6  additional acres required for 22 more campsites