You have a piggy bank containing a total of 107 coins in dimes and quarters. If the piggy bank contains $17.90, how many dimes are there in the piggy bank?

There are ? dimes in the piggy bank.

There are ? dimes in the piggy bank.

Marcelo Mullins
2022-07-26
Answered

There are ? dimes in the piggy bank.

You can still ask an expert for help

Sandra Randall

Answered 2022-07-27
Author has **17** answers

Step 1

Let's say dimes $=x$

quartery $=y$

then, $x+y=107$.

$0.10x+0.25y=17.90$

Step 2

$\Rightarrow 10x+25y=1790$

$\Rightarrow 10x+25(107-x)=1790$

$\Rightarrow x=59,y=48$

There are 59 dimes.

Let's say dimes $=x$

quartery $=y$

then, $x+y=107$.

$0.10x+0.25y=17.90$

Step 2

$\Rightarrow 10x+25y=1790$

$\Rightarrow 10x+25(107-x)=1790$

$\Rightarrow x=59,y=48$

There are 59 dimes.

asked 2022-04-29

asked 2022-05-19

How do you solve and graph $6r\ge 60$ ?

asked 2022-08-03

Rewrite the expression in terms of $\mathrm{log}(3)$ and/or $\mathrm{log}(5)$.

asked 2022-07-26

Maximum speed of a quarter horse is 47.50 mph. Find the time it takes to travel one-quarter of a mile. Round to the nearest thousandth.

asked 2021-11-17

To calculate: The solution for the system of equations

$-2{x}^{2}+3{y}^{2}=10$ ;

$5{x}^{2}+2{y}^{2}=13$ .

asked 2022-02-02

How do you evaluate $b=\sqrt{{a}^{2}-{c}^{2}}$ given $a=29$ and $c=20$ ?

asked 2022-08-04

The intensity I of light varies inversely with the square of the distance d from the source, expressed in the equation l=k/d^2. If the intensity is 1/2 of a candela 16 feet from the source, what is the constant of proportionality

A. 256 candela- square- feet

B. 32 candela- square- feet

C. 2 candela- square- feet

D. 128 candela- square- feet

A. 256 candela- square- feet

B. 32 candela- square- feet

C. 2 candela- square- feet

D. 128 candela- square- feet