On an archeological field trip, Lucy and Chuck found a total of 92 arrowheads.

Mathematics

1 answer:

miv72 [106K]3 years ago

4 0

Answer:

Step-by-step explanation:

Let x=lucy and y=chuck

we know that in total they found 92 arrowheads which means that

x+y=92

we also know that lucy found 6 more than chuck which means taht

x-6=y

Let's solve this through substitution

Looking at the second equation we know exactly what y is equal to in terms of x so we can plug this in (x-6) whenever we see a y in the first equation

so we have

x+(x-6)=92

solve for x and get

2x=98

x=49

Now that we know what x is equal to we can solve for y

49-6=y

y=43

This means that lucy found 49 and chuck found 43

You might be interested in

Suppose you invest $1400 at interest rate of 4.3% compounded continuously. How much will you have in the account after 7 years?

STatiana [176]

$\bf ~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$1400\\ r=rate\to 4.3\%\to \frac{4.3}{100}\dotfill &0.043\\ t=years\dotfill &7 \end{cases} \\\\\\ A=1400e^{0.043\cdot 7}\implies A=1400e^{0.301}\implies A\approx 1891.69\implies \stackrel{\textit{rounded up}}{A=1892}$