What is the value of x? Please help! Thanks!

Mathematics

1 answer:

leonid [27]3 years ago

8 0

Answer:

x=75

Step-by-step explanation:

We can use proportions to solve this problem. Put the side of the small triangle over the side of the large triangle.

42 50

------ = ----------

42+63 50+x

42 50

------ = ----------

105 50+x

Using cross products

42(50+x) = 50*(105)

2100+42x = 5250

Subtract 2100 from each side

2100-2100+42x = 5250-2100

42x =3150

Divide by 42

42x/42 = 3150/42

x = 75

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$\$3755$

Step-by-step explanation:

For 1 Quarter:

$Amount\ paid\ in\ tuition=\$729\\\\Amount\ paid\ in\ fees=\$22\\\\Total\ amount\ paid\ in\ 1\ Quarter=Amount\ paid\ in\ tuition+Amount\ paid\ in\ fees\\\\Total\ amount\ paid\ in\ 1\ Quarter=729+22\\\\Total\ amount\ paid\ in\ 1\ Quarter=\$ 751$

For 5 Quarter:

$Remaining\ Quarters=5\\\\Total\ amount\ paid\ in\ 5\ Quarter=Number\ of\ quarters\times Total\ amount\ paid\ in\ 1\ Quarter\\\\Total\ amount\ paid\ in\ 5\ Quarter=5\times 751\\\\Total\ amount\ paid\ in\ 5\ Quarter=\$3755\\\\So\ total\ \$3755\ is\ required\ for\ tuition\ and\ fees.$