Question

Daniel spent $40 on eating utensils. Spoons cost $5 and forks cost $6. If he bought a total of 7, then how many of each kind did he buy?

Answer 1

Daniel bought 2 spoons and 5 forks.

Step-by-step explanation:

Given,

Amount spent on utensils = $40

Cost of each spoon = $5

Cost of each fork = $6

Total items bought = 7

Let,

x be the number of spoons bought

y be the number of forks bought

x+y=7           Eqn 1

5x+6y=40    Eqn 2

Multiplying Eqn 1 by 5

$5(x+y=7)\\5x+5y=35\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(5x+6y)-(5x+5y)=40-35\\5x+6y-5x-5y=5\\y=5$

Putting y=5 in Eqn 1

$x+5=7\\x=7-5\\x=2$

Daniel bought 2 spoons and 5 forks.

Keywords: linear equation, elimination method

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