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Stells [14]
3 years ago
12

Show working out please

Mathematics
1 answer:
Vlad [161]3 years ago
4 0

If 40% are boys, 60% are grills.

As fractions:

4/10 = 2/5 are boys

6/10 = 3/5 are grills

70% or 7/10 of the boys arrive by car:

(2/5)(7/10) = 14/50 = 7/25

And 60% or 3/5 of the grills arrive by car:

(3/5)(3/5) = 9/25

So in total we have 7/25 + 9/25 = 16/25 = 64/100 = 64%

64% chance that a child arrives by car.

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Step-by-step explanation:

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\stackrel{Adam~received}{18\cdot \cfrac{x}{18+17}}\qquad \qquad \stackrel{Tom~received}{17\cdot \cfrac{x}{18+17}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{since we know that Adam got "5" more}}{ \stackrel{Adam}{18\cdot \cfrac{x}{18+17}}~~ = ~~\stackrel{Tom}{17\cdot \cfrac{x}{18+17}~~ + ~~5} }\qquad \implies \qquad \cfrac{18x}{35}~~ + ~~\cfrac{17x}{35}+5

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