Mathematics Test V Solution - Page 116
46. If 8 men can plant 288 trees in one day, how many trees can 12 men plant in 5 days?
Let N - be the number of trees
N = 288 trees x 12 men x 5 days -----> 288 x 12 x 5
8 men - 1 day 8 trees
N = 2, 160 trees * Ans.
47. If the length of a rectangle is increased by 25% and its width is decreased by 20%, what happens to the area of the triangle?
Aorig. = LW
Anew = L (1+0.25) x W (1 - 0.20)
= L (1.25) x W (0.8) -----> (1.25) (0.8) LW
Anew = 1 x LW
Anew = Aorig.
therefore, no change in the area * Ans.
48. The formula for the volume of a sphere is V = 4/3 πr3. If the radius (r) is tripled, what will be the ratio of the new volume to the original volume?
Vorig. = 4/3 πr3
Vnew = 4/3 π(3r)3 -----> = 4/3 π(27r3) ------> 27 (4/3 πr3)
Vnew = 27 Vorig. -----> Vnew : Vorig. = 27 : 1 * Ans.
49. The scale on a map is 1 : 8. If a surveyor reads a certain measurement on the map as 4.6 cm instead of 5.0 cm, what will be the resulting approximate percent error on the full size model?
% error = error x 100% -> 5.0 - 4.6 x 100% -> 0.4 x 100% -> 8% *Ans.
correct value 5.0 5
50. In a certain recipe, 225 grams of beef are called for to make 6 servings. If Mrs. Alferez wants to use the recipe for 8 servings, how many grams of beef must she use?
Let N - be the number of grams required
225 : 6 = N : 8
6N = 8(225)
6N = 1800
N = 1800 / 6
N = 300 grams. * Ans.
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