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viva [34]
3 years ago
5

Andy bought 4 hamburgers snd 2 milkshakes for $13.50. Danny bought 3 hamburgers and 1 milkshake for $9.25. What cost of a hambur

ger and milkshake?
Mathematics
1 answer:
Molodets [167]3 years ago
4 0

A hamburger costs $2.5 and a milkshake costs $1.75

Step-by-step explanation:

  • Step 1: Form equations from the given details. Let cost of 1 hamburger be H and cost of 1 milkshake be M.

   4H + 2M = 13.50 ------ (1)

&  3H + 1M =   9.25 ------ (2)

  • Step 2: Multiply eq(2) with 2 to make coefficients of M equal.

   6H + 2M = 18.50 ------- (3)

  • Step 3: Subtract eq(3) from eq(1)

⇒ - 2H = - 5

⇒ H = $2.5

  • Step 4: Substitute value of H in eq(2) to find M.

⇒ 3 × 2.5 + M = 9.25

⇒ 7.5 + M = 9.25

⇒ M = $1.75

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Answer:

\boxed{\bf \:  \cfrac{13}{5}}

<u>Or in Decimal:</u>

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Step-by-step explanation:

<u>Given expression :-</u>

\sf \: ( 26 \div 100) \times 10

<u>Solution :-</u>

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This arithmetic expression may be rewritten as ;

\sf  =  \cfrac{26}{100}  \times 10

Step 1 : <u>Cancel the zero of 10 and one zero of 100</u> :-

\sf  =  \cfrac{26}{10 \cancel0}  \times 1 \cancel0

<em>Results to;</em>

\sf  =  \:  \cfrac{26}{10}  \times 1

\sf  =  \:  \cfrac{26}{10}

Step 2: <u>Cancel 26 and 10</u><u> </u><u>by 2</u> :-

\sf  =  \cfrac{ \cancel{26}}{ \cancel{10}}

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\sf = \cfrac{ \cancel{26} {}^{13} }{ \cancel{10} {}^{5} }

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<em>It can also be in Decimal.</em>

That is;

\sf = 2.6

Hence, the answer of the expression would be 13/5 or 2.6 .

\rule{225pt}{2pt}

I hope this helps!

Let me know if you have any questions.

I am joyous to help!

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