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sergey [27]
3 years ago
15

Last month Dory biked 11 times as many miles as Karly. Together they biked a total of 156 miles. How many miles did Dory bike la

st month?
Mathematics
2 answers:
Oduvanchick [21]3 years ago
8 0
Divide 156 by 11= 14.18 and you have your answer
asambeis [7]3 years ago
4 0
To solve this, simply divide the total number of miles by 11. 

156 ÷ 11 = 14.18 miles

Dory biked 14.18 miles
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✑ \underline{ \underline{ \sf{First ,\: Let's \: learn \: about \: the \: ratio}}} :

Let us consider , there are 30 boys and 40 girls in a school. So, the ratio of number of boys to number of girls = \sf{ \frac{30}{40} =  \frac{3}{4}   = 3:4} and read as 3 is to 4. We can say , the ratio compares two of more quantities of same unit. Until two quantities have same units , it is meaningless to compare by ratio. So, to find the ratio of two quantities , it is necessary to express them in same unit or of same kind. Since , they are in division form. So ,ratio is unit less quantity. Thus , the ratio is a comparison of two quantities of the same kind in division which doesn't have any units. For example : \sf{ \frac{a}{b}} is a ratio and is read as ' a is to b ' in which ' a : is antecedent and ' b ' is called consequent.

✎ \underline{ \underline{ \sf{Now \: let's \: solve : }}}

☪ \underline{ \sf{Solution}} :

£ 21 is to be divided between Amy and Ben in the ratio 5 : 2. So, let Amy get £ 5x and Ben get £ 2x.

Then , According to the question , \text{5x +2x = 21}

Solve for x :

⇝ \sf{7x = 21}

⇝ \sf{ \frac{7x}{7}  =  \frac{21}{7} }

⇝ \sf{x = 3}

The value of x is 3. Now , substitute the value of x in 5x :

Amy received £ 5x = 5 × 3 = £ 15 .

☥ \boxed{ \boxed{ \tt{Our \: final \: answer \: is \bold{£ \: 15}}}}

Hope I helped ! ツ

Have a wonderful day / night ♡

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