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A collection of coins has 16 more 1 peso than 5 pesos coins. If the total value of the collection is 88 pesos. How many 1 peso and 5 peso coins are there?​

Sagot :

Answer:

Let x= 1 peso coin

y= 5 peso coin

[tex]x= y+16. eqn1\\ x +y=88. eqn2[/tex]

Substitute eqn. 1 to eqn. 2

[tex]x+y=88\\ y+16+y=88\\ 2y+16=88\\ 2y=88-16\\ 2y=72\\ \frac{2y}{2} =\frac{72}{2} \\ y=36[/tex]

Using eqn.1 substitute the y value to find the value of x

[tex]x=y +16\\ x=36+16\\ x=52[/tex]

Hence, there are 52 pieces of one peso coin and 36 five peso coin

~hope it helps ^-^